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Finding the Fourth Proportional to 101,470.62, 152,206.97 and 45,313.59

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Solution

The fourth proportional to 101,470.62, 152,206.97 and 45,313.59 is: 67,970.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,470.62 : 152,206.97 = 45,313.59 : x
  2. Step 2: Convert to fraction form
    101,470.62/152,206.97 = 45,313.59/x
  3. Step 3: Cross multiply
    101,470.62x = 152,206.97 × 45,313.59
  4. Step 4: Simplify right side
    101,470.62x = 6,897,044,007.15
  5. Step 5: Solve for x
    x = 6,897,044,007.15/101,470.62
  6. Step 6: Final answer
    x = 67,970.85

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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.