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Finding the Fourth Proportional to 137,709.34, 206,565.17 and 37,875.01

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Solution

The fourth proportional to 137,709.34, 206,565.17 and 37,875.01 is: 56,812.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,709.34 : 206,565.17 = 37,875.01 : x
  2. Step 2: Convert to fraction form
    137,709.34/206,565.17 = 37,875.01/x
  3. Step 3: Cross multiply
    137,709.34x = 206,565.17 × 37,875.01
  4. Step 4: Simplify right side
    137,709.34x = 7,823,657,879.40
  5. Step 5: Solve for x
    x = 7,823,657,879.40/137,709.34
  6. Step 6: Final answer
    x = 56,812.83

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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.