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Finding the Fourth Proportional to 153,147.76, 229,721.64 and 47,974.96

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Solution

The fourth proportional to 153,147.76, 229,721.64 and 47,974.96 is: 71,962.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,147.76 : 229,721.64 = 47,974.96 : x
  2. Step 2: Convert to fraction form
    153,147.76/229,721.64 = 47,974.96/x
  3. Step 3: Cross multiply
    153,147.76x = 229,721.64 × 47,974.96
  4. Step 4: Simplify right side
    153,147.76x = 11,020,886,490.13
  5. Step 5: Solve for x
    x = 11,020,886,490.13/153,147.76
  6. Step 6: Final answer
    x = 71,962.44

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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.