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Finding the Fourth Proportional to 127,646.99, 191,639.98 and 109,046.55

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Solution

The fourth proportional to 127,646.99, 191,639.98 and 109,046.55 is: 163,714.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,646.99 : 191,639.98 = 109,046.55 : x
  2. Step 2: Convert to fraction form
    127,646.99/191,639.98 = 109,046.55/x
  3. Step 3: Cross multiply
    127,646.99x = 191,639.98 × 109,046.55
  4. Step 4: Simplify right side
    127,646.99x = 20,897,678,902.64
  5. Step 5: Solve for x
    x = 20,897,678,902.64/127,646.99
  6. Step 6: Final answer
    x = 163,714.63

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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.