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Finding the Fourth Proportional to 331,826.60, 497,812.80 and 107,148.80

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Solution

The fourth proportional to 331,826.60, 497,812.80 and 107,148.80 is: 160,746.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,826.60 : 497,812.80 = 107,148.80 : x
  2. Step 2: Convert to fraction form
    331,826.60/497,812.80 = 107,148.80/x
  3. Step 3: Cross multiply
    331,826.60x = 497,812.80 × 107,148.80
  4. Step 4: Simplify right side
    331,826.60x = 53,340,044,144.64
  5. Step 5: Solve for x
    x = 53,340,044,144.64/331,826.60
  6. Step 6: Final answer
    x = 160,746.74

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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.