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Finding the Fourth Proportional to 137,641.12, 206,422.02 and 37,804.57

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Solution

The fourth proportional to 137,641.12, 206,422.02 and 37,804.57 is: 56,695.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,641.12 : 206,422.02 = 37,804.57 : x
  2. Step 2: Convert to fraction form
    137,641.12/206,422.02 = 37,804.57/x
  3. Step 3: Cross multiply
    137,641.12x = 206,422.02 × 37,804.57
  4. Step 4: Simplify right side
    137,641.12x = 7,803,696,349.70
  5. Step 5: Solve for x
    x = 7,803,696,349.70/137,641.12
  6. Step 6: Final answer
    x = 56,695.97

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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.