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Finding the Fourth Proportional to 153,043.42, 211,160.69 and 89,344.61

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Solution

The fourth proportional to 153,043.42, 211,160.69 and 89,344.61 is: 123,272.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,043.42 : 211,160.69 = 89,344.61 : x
  2. Step 2: Convert to fraction form
    153,043.42/211,160.69 = 89,344.61/x
  3. Step 3: Cross multiply
    153,043.42x = 211,160.69 × 89,344.61
  4. Step 4: Simplify right side
    153,043.42x = 18,866,069,495.38
  5. Step 5: Solve for x
    x = 18,866,069,495.38/153,043.42
  6. Step 6: Final answer
    x = 123,272.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.