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Finding the Fourth Proportional to 161,686.34, 242,744.12 and 138,145.17

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Solution

The fourth proportional to 161,686.34, 242,744.12 and 138,145.17 is: 207,401.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,686.34 : 242,744.12 = 138,145.17 : x
  2. Step 2: Convert to fraction form
    161,686.34/242,744.12 = 138,145.17/x
  3. Step 3: Cross multiply
    161,686.34x = 242,744.12 × 138,145.17
  4. Step 4: Simplify right side
    161,686.34x = 33,533,927,033.17
  5. Step 5: Solve for x
    x = 33,533,927,033.17/161,686.34
  6. Step 6: Final answer
    x = 207,401.11

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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.