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Finding the Fourth Proportional to 137,164.65, 205,726.18 and 37,332.63

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Solution

The fourth proportional to 137,164.65, 205,726.18 and 37,332.63 is: 55,993.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,164.65 : 205,726.18 = 37,332.63 : x
  2. Step 2: Convert to fraction form
    137,164.65/205,726.18 = 37,332.63/x
  3. Step 3: Cross multiply
    137,164.65x = 205,726.18 × 37,332.63
  4. Step 4: Simplify right side
    137,164.65x = 7,680,299,359.25
  5. Step 5: Solve for x
    x = 7,680,299,359.25/137,164.65
  6. Step 6: Final answer
    x = 55,993.29

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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.