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Finding the Fourth Proportional to 137,109.58, 205,639.16 and 62,211.71

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Solution

The fourth proportional to 137,109.58, 205,639.16 and 62,211.71 is: 93,306.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,109.58 : 205,639.16 = 62,211.71 : x
  2. Step 2: Convert to fraction form
    137,109.58/205,639.16 = 62,211.71/x
  3. Step 3: Cross multiply
    137,109.58x = 205,639.16 × 62,211.71
  4. Step 4: Simplify right side
    137,109.58x = 12,793,163,989.60
  5. Step 5: Solve for x
    x = 12,793,163,989.60/137,109.58
  6. Step 6: Final answer
    x = 93,306.13

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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.