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Finding the Fourth Proportional to 101,363.14, 152,069.43 and 71,435.71

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Solution

The fourth proportional to 101,363.14, 152,069.43 and 71,435.71 is: 107,170.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,363.14 : 152,069.43 = 71,435.71 : x
  2. Step 2: Convert to fraction form
    101,363.14/152,069.43 = 71,435.71/x
  3. Step 3: Cross multiply
    101,363.14x = 152,069.43 × 71,435.71
  4. Step 4: Simplify right side
    101,363.14x = 10,863,186,941.00
  5. Step 5: Solve for x
    x = 10,863,186,941.00/101,363.14
  6. Step 6: Final answer
    x = 107,170.98

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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.