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Finding the Fourth Proportional to 153,185.50, 229,791.21 and 42,377.50

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Solution

The fourth proportional to 153,185.50, 229,791.21 and 42,377.50 is: 63,569.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,185.50 : 229,791.21 = 42,377.50 : x
  2. Step 2: Convert to fraction form
    153,185.50/229,791.21 = 42,377.50/x
  3. Step 3: Cross multiply
    153,185.50x = 229,791.21 × 42,377.50
  4. Step 4: Simplify right side
    153,185.50x = 9,737,977,001.78
  5. Step 5: Solve for x
    x = 9,737,977,001.78/153,185.50
  6. Step 6: Final answer
    x = 63,569.84

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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.