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Finding the Fourth Proportional to 242,082, 334,073.16 and 136,098

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Solution

The fourth proportional to 242,082, 334,073.16 and 136,098 is: 187,815.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,082 : 334,073.16 = 136,098 : x
  2. Step 2: Convert to fraction form
    242,082/334,073.16 = 136,098/x
  3. Step 3: Cross multiply
    242,082x = 334,073.16 × 136,098
  4. Step 4: Simplify right side
    242,082x = 45,466,688,929.68
  5. Step 5: Solve for x
    x = 45,466,688,929.68/242,082
  6. Step 6: Final answer
    x = 187,815.24

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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.