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Finding the Fourth Proportional to 149,042.86, 205,708.35 and 85,423.30

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Solution

The fourth proportional to 149,042.86, 205,708.35 and 85,423.30 is: 117,900.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,042.86 : 205,708.35 = 85,423.30 : x
  2. Step 2: Convert to fraction form
    149,042.86/205,708.35 = 85,423.30/x
  3. Step 3: Cross multiply
    149,042.86x = 205,708.35 × 85,423.30
  4. Step 4: Simplify right side
    149,042.86x = 17,572,286,094.56
  5. Step 5: Solve for x
    x = 17,572,286,094.56/149,042.86
  6. Step 6: Final answer
    x = 117,900.89

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