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Finding the Fourth Proportional to 132,503.34, 198,818.80 and 65,949.29

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Solution

The fourth proportional to 132,503.34, 198,818.80 and 65,949.29 is: 98,955.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,503.34 : 198,818.80 = 65,949.29 : x
  2. Step 2: Convert to fraction form
    132,503.34/198,818.80 = 65,949.29/x
  3. Step 3: Cross multiply
    132,503.34x = 198,818.80 × 65,949.29
  4. Step 4: Simplify right side
    132,503.34x = 13,111,958,656.22
  5. Step 5: Solve for x
    x = 13,111,958,656.22/132,503.34
  6. Step 6: Final answer
    x = 98,955.68

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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.