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Finding the Fourth Proportional to 117,166.41, 175,713.30 and 42,276.87

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Solution

The fourth proportional to 117,166.41, 175,713.30 and 42,276.87 is: 63,402.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,166.41 : 175,713.30 = 42,276.87 : x
  2. Step 2: Convert to fraction form
    117,166.41/175,713.30 = 42,276.87/x
  3. Step 3: Cross multiply
    117,166.41x = 175,713.30 × 42,276.87
  4. Step 4: Simplify right side
    117,166.41x = 7,428,608,341.37
  5. Step 5: Solve for x
    x = 7,428,608,341.37/117,166.41
  6. Step 6: Final answer
    x = 63,402.20

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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.