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Finding the Fourth Proportional to 117,151.76, 175,726.08 and 28,406.08

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Solution

The fourth proportional to 117,151.76, 175,726.08 and 28,406.08 is: 42,608.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,151.76 : 175,726.08 = 28,406.08 : x
  2. Step 2: Convert to fraction form
    117,151.76/175,726.08 = 28,406.08/x
  3. Step 3: Cross multiply
    117,151.76x = 175,726.08 × 28,406.08
  4. Step 4: Simplify right side
    117,151.76x = 4,991,689,086.57
  5. Step 5: Solve for x
    x = 4,991,689,086.57/117,151.76
  6. Step 6: Final answer
    x = 42,608.74

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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.