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Finding the Fourth Proportional to 137,059.64, 205,565.87 and 37,227.87

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Solution

The fourth proportional to 137,059.64, 205,565.87 and 37,227.87 is: 55,835.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,059.64 : 205,565.87 = 37,227.87 : x
  2. Step 2: Convert to fraction form
    137,059.64/205,565.87 = 37,227.87/x
  3. Step 3: Cross multiply
    137,059.64x = 205,565.87 × 37,227.87
  4. Step 4: Simplify right side
    137,059.64x = 7,652,779,577.87
  5. Step 5: Solve for x
    x = 7,652,779,577.87/137,059.64
  6. Step 6: Final answer
    x = 55,835.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.