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Finding the Fourth Proportional to 176,596, 243,694.54 and 100,114

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Solution

The fourth proportional to 176,596, 243,694.54 and 100,114 is: 138,152.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,596 : 243,694.54 = 100,114 : x
  2. Step 2: Convert to fraction form
    176,596/243,694.54 = 100,114/x
  3. Step 3: Cross multiply
    176,596x = 243,694.54 × 100,114
  4. Step 4: Simplify right side
    176,596x = 24,397,235,177.56
  5. Step 5: Solve for x
    x = 24,397,235,177.56/176,596
  6. Step 6: Final answer
    x = 138,152.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.