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Finding the Fourth Proportional to 232,686.75, 349,047.80 and 90,470.92

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Solution

The fourth proportional to 232,686.75, 349,047.80 and 90,470.92 is: 135,713.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,686.75 : 349,047.80 = 90,470.92 : x
  2. Step 2: Convert to fraction form
    232,686.75/349,047.80 = 90,470.92/x
  3. Step 3: Cross multiply
    232,686.75x = 349,047.80 × 90,470.92
  4. Step 4: Simplify right side
    232,686.75x = 31,578,675,513.18
  5. Step 5: Solve for x
    x = 31,578,675,513.18/232,686.75
  6. Step 6: Final answer
    x = 135,713.25

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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.