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Finding the Fourth Proportional to 130,785.36, 180,478.32 and 74,207.28

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Solution

The fourth proportional to 130,785.36, 180,478.32 and 74,207.28 is: 102,402.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,785.36 : 180,478.32 = 74,207.28 : x
  2. Step 2: Convert to fraction form
    130,785.36/180,478.32 = 74,207.28/x
  3. Step 3: Cross multiply
    130,785.36x = 180,478.32 × 74,207.28
  4. Step 4: Simplify right side
    130,785.36x = 13,392,805,226.17
  5. Step 5: Solve for x
    x = 13,392,805,226.17/130,785.36
  6. Step 6: Final answer
    x = 102,402.94

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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.