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Finding the Fourth Proportional to 127,523.80, 191,292.54 and 38,780.20

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Solution

The fourth proportional to 127,523.80, 191,292.54 and 38,780.20 is: 58,172.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,523.80 : 191,292.54 = 38,780.20 : x
  2. Step 2: Convert to fraction form
    127,523.80/191,292.54 = 38,780.20/x
  3. Step 3: Cross multiply
    127,523.80x = 191,292.54 × 38,780.20
  4. Step 4: Simplify right side
    127,523.80x = 7,418,362,959.71
  5. Step 5: Solve for x
    x = 7,418,362,959.71/127,523.80
  6. Step 6: Final answer
    x = 58,172.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.