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Finding the Fourth Proportional to 235,541.16, 353,406.21 and 85,791.78

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Solution

The fourth proportional to 235,541.16, 353,406.21 and 85,791.78 is: 128,722.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,541.16 : 353,406.21 = 85,791.78 : x
  2. Step 2: Convert to fraction form
    235,541.16/353,406.21 = 85,791.78/x
  3. Step 3: Cross multiply
    235,541.16x = 353,406.21 × 85,791.78
  4. Step 4: Simplify right side
    235,541.16x = 30,319,347,818.95
  5. Step 5: Solve for x
    x = 30,319,347,818.95/235,541.16
  6. Step 6: Final answer
    x = 128,722.08

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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.