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Finding the Fourth Proportional to 202,094.52, 278,885.40 and 111,447.60

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Solution

The fourth proportional to 202,094.52, 278,885.40 and 111,447.60 is: 153,794.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,094.52 : 278,885.40 = 111,447.60 : x
  2. Step 2: Convert to fraction form
    202,094.52/278,885.40 = 111,447.60/x
  3. Step 3: Cross multiply
    202,094.52x = 278,885.40 × 111,447.60
  4. Step 4: Simplify right side
    202,094.52x = 31,081,108,505.04
  5. Step 5: Solve for x
    x = 31,081,108,505.04/202,094.52
  6. Step 6: Final answer
    x = 153,794.91

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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.