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Finding the Fourth Proportional to 242,089, 334,082.82 and 136,105

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Solution

The fourth proportional to 242,089, 334,082.82 and 136,105 is: 187,824.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,089 : 334,082.82 = 136,105 : x
  2. Step 2: Convert to fraction form
    242,089/334,082.82 = 136,105/x
  3. Step 3: Cross multiply
    242,089x = 334,082.82 × 136,105
  4. Step 4: Simplify right side
    242,089x = 45,470,342,216.10
  5. Step 5: Solve for x
    x = 45,470,342,216.10/242,089
  6. Step 6: Final answer
    x = 187,824.90

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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.