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Finding the Fourth Proportional to 178,151.94, 245,853.63 and 101,669.49

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Solution

The fourth proportional to 178,151.94, 245,853.63 and 101,669.49 is: 140,306.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,151.94 : 245,853.63 = 101,669.49 : x
  2. Step 2: Convert to fraction form
    178,151.94/245,853.63 = 101,669.49/x
  3. Step 3: Cross multiply
    178,151.94x = 245,853.63 × 101,669.49
  4. Step 4: Simplify right side
    178,151.94x = 24,995,813,176.75
  5. Step 5: Solve for x
    x = 24,995,813,176.75/178,151.94
  6. Step 6: Final answer
    x = 140,306.15

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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.