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Finding the Fourth Proportional to 202,167.54, 278,986.75 and 111,523.58

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Solution

The fourth proportional to 202,167.54, 278,986.75 and 111,523.58 is: 153,900.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,167.54 : 278,986.75 = 111,523.58 : x
  2. Step 2: Convert to fraction form
    202,167.54/278,986.75 = 111,523.58/x
  3. Step 3: Cross multiply
    202,167.54x = 278,986.75 × 111,523.58
  4. Step 4: Simplify right side
    202,167.54x = 31,113,600,505.02
  5. Step 5: Solve for x
    x = 31,113,600,505.02/202,167.54
  6. Step 6: Final answer
    x = 153,900.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.