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Finding the Fourth Proportional to 145,855.50, 218,849.13 and 83,526

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Solution

The fourth proportional to 145,855.50, 218,849.13 and 83,526 is: 125,326.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,855.50 : 218,849.13 = 83,526 : x
  2. Step 2: Convert to fraction form
    145,855.50/218,849.13 = 83,526/x
  3. Step 3: Cross multiply
    145,855.50x = 218,849.13 × 83,526
  4. Step 4: Simplify right side
    145,855.50x = 18,279,592,432.38
  5. Step 5: Solve for x
    x = 18,279,592,432.38/145,855.50
  6. Step 6: Final answer
    x = 125,326.73

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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.