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Finding the Fourth Proportional to 232,552.92, 320,702.52 and 152,049.48

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Solution

The fourth proportional to 232,552.92, 320,702.52 and 152,049.48 is: 209,684.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,552.92 : 320,702.52 = 152,049.48 : x
  2. Step 2: Convert to fraction form
    232,552.92/320,702.52 = 152,049.48/x
  3. Step 3: Cross multiply
    232,552.92x = 320,702.52 × 152,049.48
  4. Step 4: Simplify right side
    232,552.92x = 48,762,651,400.69
  5. Step 5: Solve for x
    x = 48,762,651,400.69/232,552.92
  6. Step 6: Final answer
    x = 209,684.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.