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Finding the Fourth Proportional to 124,000, 186,000.16 and 57,403.84

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Solution

The fourth proportional to 124,000, 186,000.16 and 57,403.84 is: 86,105.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,000 : 186,000.16 = 57,403.84 : x
  2. Step 2: Convert to fraction form
    124,000/186,000.16 = 57,403.84/x
  3. Step 3: Cross multiply
    124,000x = 186,000.16 × 57,403.84
  4. Step 4: Simplify right side
    124,000x = 10,677,123,424.61
  5. Step 5: Solve for x
    x = 10,677,123,424.61/124,000
  6. Step 6: Final answer
    x = 86,105.83

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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.