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Finding the Fourth Proportional to 132,264, 198,397.08 and 49,158

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Solution

The fourth proportional to 132,264, 198,397.08 and 49,158 is: 73,737.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,264 : 198,397.08 = 49,158 : x
  2. Step 2: Convert to fraction form
    132,264/198,397.08 = 49,158/x
  3. Step 3: Cross multiply
    132,264x = 198,397.08 × 49,158
  4. Step 4: Simplify right side
    132,264x = 9,752,803,658.64
  5. Step 5: Solve for x
    x = 9,752,803,658.64/132,264
  6. Step 6: Final answer
    x = 73,737.40

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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.