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Finding the Fourth Proportional to 142,259.32, 196,301.13 and 78,593.32

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Solution

The fourth proportional to 142,259.32, 196,301.13 and 78,593.32 is: 108,449.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,259.32 : 196,301.13 = 78,593.32 : x
  2. Step 2: Convert to fraction form
    142,259.32/196,301.13 = 78,593.32/x
  3. Step 3: Cross multiply
    142,259.32x = 196,301.13 × 78,593.32
  4. Step 4: Simplify right side
    142,259.32x = 15,427,957,526.45
  5. Step 5: Solve for x
    x = 15,427,957,526.45/142,259.32
  6. Step 6: Final answer
    x = 108,449.54

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