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Finding the Fourth Proportional to 232,524, 348,837.84 and 84,780

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Solution

The fourth proportional to 232,524, 348,837.84 and 84,780 is: 127,188.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,524 : 348,837.84 = 84,780 : x
  2. Step 2: Convert to fraction form
    232,524/348,837.84 = 84,780/x
  3. Step 3: Cross multiply
    232,524x = 348,837.84 × 84,780
  4. Step 4: Simplify right side
    232,524x = 29,574,472,075.20
  5. Step 5: Solve for x
    x = 29,574,472,075.20/232,524
  6. Step 6: Final answer
    x = 127,188.90

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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.