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Finding the Fourth Proportional to 102,902.19, 141,995.32 and 64,136.40

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Solution

The fourth proportional to 102,902.19, 141,995.32 and 64,136.40 is: 88,502.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,902.19 : 141,995.32 = 64,136.40 : x
  2. Step 2: Convert to fraction form
    102,902.19/141,995.32 = 64,136.40/x
  3. Step 3: Cross multiply
    102,902.19x = 141,995.32 × 64,136.40
  4. Step 4: Simplify right side
    102,902.19x = 9,107,068,641.65
  5. Step 5: Solve for x
    x = 9,107,068,641.65/102,902.19
  6. Step 6: Final answer
    x = 88,502.18

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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.