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Finding the Fourth Proportional to 492,117.48, 738,092.52 and 137,166.84

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Solution

The fourth proportional to 492,117.48, 738,092.52 and 137,166.84 is: 205,726.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,117.48 : 738,092.52 = 137,166.84 : x
  2. Step 2: Convert to fraction form
    492,117.48/738,092.52 = 137,166.84/x
  3. Step 3: Cross multiply
    492,117.48x = 738,092.52 × 137,166.84
  4. Step 4: Simplify right side
    492,117.48x = 101,241,818,596.04
  5. Step 5: Solve for x
    x = 101,241,818,596.04/492,117.48
  6. Step 6: Final answer
    x = 205,726.93

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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.