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Finding the Fourth Proportional to 310,483.92, 465,336.27 and 132,781.98

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Solution

The fourth proportional to 310,483.92, 465,336.27 and 132,781.98 is: 199,006.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,483.92 : 465,336.27 = 132,781.98 : x
  2. Step 2: Convert to fraction form
    310,483.92/465,336.27 = 132,781.98/x
  3. Step 3: Cross multiply
    310,483.92x = 465,336.27 × 132,781.98
  4. Step 4: Simplify right side
    310,483.92x = 61,788,271,296.41
  5. Step 5: Solve for x
    x = 61,788,271,296.41/310,483.92
  6. Step 6: Final answer
    x = 199,006.35

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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.