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Finding the Fourth Proportional to 119,141.47, 164,452.13 and 76,700

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Solution

The fourth proportional to 119,141.47, 164,452.13 and 76,700 is: 105,869.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,141.47 : 164,452.13 = 76,700 : x
  2. Step 2: Convert to fraction form
    119,141.47/164,452.13 = 76,700/x
  3. Step 3: Cross multiply
    119,141.47x = 164,452.13 × 76,700
  4. Step 4: Simplify right side
    119,141.47x = 12,613,478,371
  5. Step 5: Solve for x
    x = 12,613,478,371/119,141.47
  6. Step 6: Final answer
    x = 105,869.76

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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.