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Finding the Fourth Proportional to 117,675.87, 176,458.35 and 42,743.16

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Solution

The fourth proportional to 117,675.87, 176,458.35 and 42,743.16 is: 64,094.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,675.87 : 176,458.35 = 42,743.16 : x
  2. Step 2: Convert to fraction form
    117,675.87/176,458.35 = 42,743.16/x
  3. Step 3: Cross multiply
    117,675.87x = 176,458.35 × 42,743.16
  4. Step 4: Simplify right side
    117,675.87x = 7,542,387,487.39
  5. Step 5: Solve for x
    x = 7,542,387,487.39/117,675.87
  6. Step 6: Final answer
    x = 64,094.60

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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.