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Finding the Fourth Proportional to 145,382.07, 200,627.38 and 80,849.90

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Solution

The fourth proportional to 145,382.07, 200,627.38 and 80,849.90 is: 111,572.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,382.07 : 200,627.38 = 80,849.90 : x
  2. Step 2: Convert to fraction form
    145,382.07/200,627.38 = 80,849.90/x
  3. Step 3: Cross multiply
    145,382.07x = 200,627.38 × 80,849.90
  4. Step 4: Simplify right side
    145,382.07x = 16,220,703,909.71
  5. Step 5: Solve for x
    x = 16,220,703,909.71/145,382.07
  6. Step 6: Final answer
    x = 111,572.93

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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.