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Finding the Fourth Proportional to 102,382.86, 140,265.36 and 98,547.78

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Solution

The fourth proportional to 102,382.86, 140,265.36 and 98,547.78 is: 135,011.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,382.86 : 140,265.36 = 98,547.78 : x
  2. Step 2: Convert to fraction form
    102,382.86/140,265.36 = 98,547.78/x
  3. Step 3: Cross multiply
    102,382.86x = 140,265.36 × 98,547.78
  4. Step 4: Simplify right side
    102,382.86x = 13,822,839,838.90
  5. Step 5: Solve for x
    x = 13,822,839,838.90/102,382.86
  6. Step 6: Final answer
    x = 135,011.27

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.