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Finding the Fourth Proportional to 158,406.13, 237,609.50 and 38,462.57

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Solution

The fourth proportional to 158,406.13, 237,609.50 and 38,462.57 is: 57,693.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,406.13 : 237,609.50 = 38,462.57 : x
  2. Step 2: Convert to fraction form
    158,406.13/237,609.50 = 38,462.57/x
  3. Step 3: Cross multiply
    158,406.13x = 237,609.50 × 38,462.57
  4. Step 4: Simplify right side
    158,406.13x = 9,139,071,834.10
  5. Step 5: Solve for x
    x = 9,139,071,834.10/158,406.13
  6. Step 6: Final answer
    x = 57,693.93

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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.