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Finding the Fourth Proportional to 232,658.57, 320,987.05 and 152,133.23

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Solution

The fourth proportional to 232,658.57, 320,987.05 and 152,133.23 is: 209,890.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,658.57 : 320,987.05 = 152,133.23 : x
  2. Step 2: Convert to fraction form
    232,658.57/320,987.05 = 152,133.23/x
  3. Step 3: Cross multiply
    232,658.57x = 320,987.05 × 152,133.23
  4. Step 4: Simplify right side
    232,658.57x = 48,832,796,704.67
  5. Step 5: Solve for x
    x = 48,832,796,704.67/232,658.57
  6. Step 6: Final answer
    x = 209,890.38

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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.