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Finding the Fourth Proportional to 132,098.64, 198,145.80 and 53,210.88

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Solution

The fourth proportional to 132,098.64, 198,145.80 and 53,210.88 is: 79,815.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,098.64 : 198,145.80 = 53,210.88 : x
  2. Step 2: Convert to fraction form
    132,098.64/198,145.80 = 53,210.88/x
  3. Step 3: Cross multiply
    132,098.64x = 198,145.80 × 53,210.88
  4. Step 4: Simplify right side
    132,098.64x = 10,543,512,386.30
  5. Step 5: Solve for x
    x = 10,543,512,386.30/132,098.64
  6. Step 6: Final answer
    x = 79,815.45

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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.