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Finding the Fourth Proportional to 402,014.48, 602,893.67 and 132,079.95

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Solution

The fourth proportional to 402,014.48, 602,893.67 and 132,079.95 is: 198,077.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,014.48 : 602,893.67 = 132,079.95 : x
  2. Step 2: Convert to fraction form
    402,014.48/602,893.67 = 132,079.95/x
  3. Step 3: Cross multiply
    402,014.48x = 602,893.67 × 132,079.95
  4. Step 4: Simplify right side
    402,014.48x = 79,630,165,128.52
  5. Step 5: Solve for x
    x = 79,630,165,128.52/402,014.48
  6. Step 6: Final answer
    x = 198,077.86

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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.