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Finding the Fourth Proportional to 153,229.76, 229,795.14 and 55,842.48

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Solution

The fourth proportional to 153,229.76, 229,795.14 and 55,842.48 is: 83,745.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,229.76 : 229,795.14 = 55,842.48 : x
  2. Step 2: Convert to fraction form
    153,229.76/229,795.14 = 55,842.48/x
  3. Step 3: Cross multiply
    153,229.76x = 229,795.14 × 55,842.48
  4. Step 4: Simplify right side
    153,229.76x = 12,832,330,509.55
  5. Step 5: Solve for x
    x = 12,832,330,509.55/153,229.76
  6. Step 6: Final answer
    x = 83,745.68

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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.