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Finding the Fourth Proportional to 101,807.60, 152,668.20 and 49,233.20

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Solution

The fourth proportional to 101,807.60, 152,668.20 and 49,233.20 is: 73,828.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,807.60 : 152,668.20 = 49,233.20 : x
  2. Step 2: Convert to fraction form
    101,807.60/152,668.20 = 49,233.20/x
  3. Step 3: Cross multiply
    101,807.60x = 152,668.20 × 49,233.20
  4. Step 4: Simplify right side
    101,807.60x = 7,516,344,024.24
  5. Step 5: Solve for x
    x = 7,516,344,024.24/101,807.60
  6. Step 6: Final answer
    x = 73,828.91

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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.