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Finding the Fourth Proportional to 153,989.52, 231,006.16 and 47,382.32

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Solution

The fourth proportional to 153,989.52, 231,006.16 and 47,382.32 is: 71,080.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,989.52 : 231,006.16 = 47,382.32 : x
  2. Step 2: Convert to fraction form
    153,989.52/231,006.16 = 47,382.32/x
  3. Step 3: Cross multiply
    153,989.52x = 231,006.16 × 47,382.32
  4. Step 4: Simplify right side
    153,989.52x = 10,945,607,795.09
  5. Step 5: Solve for x
    x = 10,945,607,795.09/153,989.52
  6. Step 6: Final answer
    x = 71,080.21

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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.