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Finding the Fourth Proportional to 160,510.95, 240,864.84 and 71,839.44

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Solution

The fourth proportional to 160,510.95, 240,864.84 and 71,839.44 is: 107,803.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,510.95 : 240,864.84 = 71,839.44 : x
  2. Step 2: Convert to fraction form
    160,510.95/240,864.84 = 71,839.44/x
  3. Step 3: Cross multiply
    160,510.95x = 240,864.84 × 71,839.44
  4. Step 4: Simplify right side
    160,510.95x = 17,303,595,221.29
  5. Step 5: Solve for x
    x = 17,303,595,221.29/160,510.95
  6. Step 6: Final answer
    x = 107,803.21

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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.