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Finding the Fourth Proportional to 150,022.98, 224,968.86 and 71,159.76

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Solution

The fourth proportional to 150,022.98, 224,968.86 and 71,159.76 is: 106,708.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,022.98 : 224,968.86 = 71,159.76 : x
  2. Step 2: Convert to fraction form
    150,022.98/224,968.86 = 71,159.76/x
  3. Step 3: Cross multiply
    150,022.98x = 224,968.86 × 71,159.76
  4. Step 4: Simplify right side
    150,022.98x = 16,008,730,085.07
  5. Step 5: Solve for x
    x = 16,008,730,085.07/150,022.98
  6. Step 6: Final answer
    x = 106,708.52

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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.