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Finding the Fourth Proportional to 153,299.17, 229,949.78 and 53,458.98

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Solution

The fourth proportional to 153,299.17, 229,949.78 and 53,458.98 is: 80,188.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,299.17 : 229,949.78 = 53,458.98 : x
  2. Step 2: Convert to fraction form
    153,299.17/229,949.78 = 53,458.98/x
  3. Step 3: Cross multiply
    153,299.17x = 229,949.78 × 53,458.98
  4. Step 4: Simplify right side
    153,299.17x = 12,292,880,690.02
  5. Step 5: Solve for x
    x = 12,292,880,690.02/153,299.17
  6. Step 6: Final answer
    x = 80,188.83

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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.