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Finding the Fourth Proportional to 166,348.64, 229,561.72 and 90,897.14

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Solution

The fourth proportional to 166,348.64, 229,561.72 and 90,897.14 is: 125,438.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,348.64 : 229,561.72 = 90,897.14 : x
  2. Step 2: Convert to fraction form
    166,348.64/229,561.72 = 90,897.14/x
  3. Step 3: Cross multiply
    166,348.64x = 229,561.72 × 90,897.14
  4. Step 4: Simplify right side
    166,348.64x = 20,866,503,801.48
  5. Step 5: Solve for x
    x = 20,866,503,801.48/166,348.64
  6. Step 6: Final answer
    x = 125,438.38

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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.