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Finding the Fourth Proportional to 121,534.16, 182,306.64 and 37,288.16

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Solution

The fourth proportional to 121,534.16, 182,306.64 and 37,288.16 is: 55,933.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,534.16 : 182,306.64 = 37,288.16 : x
  2. Step 2: Convert to fraction form
    121,534.16/182,306.64 = 37,288.16/x
  3. Step 3: Cross multiply
    121,534.16x = 182,306.64 × 37,288.16
  4. Step 4: Simplify right side
    121,534.16x = 6,797,879,161.38
  5. Step 5: Solve for x
    x = 6,797,879,161.38/121,534.16
  6. Step 6: Final answer
    x = 55,933.90

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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.