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Finding the Fourth Proportional to 232,658.95, 320,987.56 and 152,133.61

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Solution

The fourth proportional to 232,658.95, 320,987.56 and 152,133.61 is: 209,890.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,658.95 : 320,987.56 = 152,133.61 : x
  2. Step 2: Convert to fraction form
    232,658.95/320,987.56 = 152,133.61/x
  3. Step 3: Cross multiply
    232,658.95x = 320,987.56 × 152,133.61
  4. Step 4: Simplify right side
    232,658.95x = 48,832,996,267.89
  5. Step 5: Solve for x
    x = 48,832,996,267.89/232,658.95
  6. Step 6: Final answer
    x = 209,890.90

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1.5x scale

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.