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Finding the Fourth Proportional to 160,474.16, 240,749.22 and 52,402.98

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Solution

The fourth proportional to 160,474.16, 240,749.22 and 52,402.98 is: 78,616.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,474.16 : 240,749.22 = 52,402.98 : x
  2. Step 2: Convert to fraction form
    160,474.16/240,749.22 = 52,402.98/x
  3. Step 3: Cross multiply
    160,474.16x = 240,749.22 × 52,402.98
  4. Step 4: Simplify right side
    160,474.16x = 12,615,976,560.68
  5. Step 5: Solve for x
    x = 12,615,976,560.68/160,474.16
  6. Step 6: Final answer
    x = 78,616.87

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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.