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Finding the Fourth Proportional to 137,281.11, 205,900.50 and 37,449.42

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Solution

The fourth proportional to 137,281.11, 205,900.50 and 37,449.42 is: 56,168.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,281.11 : 205,900.50 = 37,449.42 : x
  2. Step 2: Convert to fraction form
    137,281.11/205,900.50 = 37,449.42/x
  3. Step 3: Cross multiply
    137,281.11x = 205,900.50 × 37,449.42
  4. Step 4: Simplify right side
    137,281.11x = 7,710,854,302.71
  5. Step 5: Solve for x
    x = 7,710,854,302.71/137,281.11
  6. Step 6: Final answer
    x = 56,168.36

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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.