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Finding the Fourth Proportional to 138,381.65, 206,814.28 and 101,020.40

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Solution

The fourth proportional to 138,381.65, 206,814.28 and 101,020.40 is: 150,977.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,381.65 : 206,814.28 = 101,020.40 : x
  2. Step 2: Convert to fraction form
    138,381.65/206,814.28 = 101,020.40/x
  3. Step 3: Cross multiply
    138,381.65x = 206,814.28 × 101,020.40
  4. Step 4: Simplify right side
    138,381.65x = 20,892,459,752.14
  5. Step 5: Solve for x
    x = 20,892,459,752.14/138,381.65
  6. Step 6: Final answer
    x = 150,977.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.