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Finding the Fourth Proportional to 153,122.76, 229,684.14 and 47,949.93

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Solution

The fourth proportional to 153,122.76, 229,684.14 and 47,949.93 is: 71,924.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,122.76 : 229,684.14 = 47,949.93 : x
  2. Step 2: Convert to fraction form
    153,122.76/229,684.14 = 47,949.93/x
  3. Step 3: Cross multiply
    153,122.76x = 229,684.14 × 47,949.93
  4. Step 4: Simplify right side
    153,122.76x = 11,013,338,435.11
  5. Step 5: Solve for x
    x = 11,013,338,435.11/153,122.76
  6. Step 6: Final answer
    x = 71,924.90

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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.