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Finding the Fourth Proportional to 146,897.78, 220,351.87 and 47,044.98

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Solution

The fourth proportional to 146,897.78, 220,351.87 and 47,044.98 is: 70,569.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,897.78 : 220,351.87 = 47,044.98 : x
  2. Step 2: Convert to fraction form
    146,897.78/220,351.87 = 47,044.98/x
  3. Step 3: Cross multiply
    146,897.78x = 220,351.87 × 47,044.98
  4. Step 4: Simplify right side
    146,897.78x = 10,366,449,317.11
  5. Step 5: Solve for x
    x = 10,366,449,317.11/146,897.78
  6. Step 6: Final answer
    x = 70,569.14

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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.