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Finding the Fourth Proportional to 202,100.40, 278,899.92 and 111,459.60

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Solution

The fourth proportional to 202,100.40, 278,899.92 and 111,459.60 is: 153,815.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,100.40 : 278,899.92 = 111,459.60 : x
  2. Step 2: Convert to fraction form
    202,100.40/278,899.92 = 111,459.60/x
  3. Step 3: Cross multiply
    202,100.40x = 278,899.92 × 111,459.60
  4. Step 4: Simplify right side
    202,100.40x = 31,086,073,523.23
  5. Step 5: Solve for x
    x = 31,086,073,523.23/202,100.40
  6. Step 6: Final answer
    x = 153,815.00

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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.