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Finding the Fourth Proportional to 102,382.32, 153,479.93 and 86,688.47

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Solution

The fourth proportional to 102,382.32, 153,479.93 and 86,688.47 is: 129,953.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,382.32 : 153,479.93 = 86,688.47 : x
  2. Step 2: Convert to fraction form
    102,382.32/153,479.93 = 86,688.47/x
  3. Step 3: Cross multiply
    102,382.32x = 153,479.93 × 86,688.47
  4. Step 4: Simplify right side
    102,382.32x = 13,304,940,307.41
  5. Step 5: Solve for x
    x = 13,304,940,307.41/102,382.32
  6. Step 6: Final answer
    x = 129,953.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.