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Finding the Fourth Proportional to 114,468.82, 157,999.90 and 69,139.60

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Solution

The fourth proportional to 114,468.82, 157,999.90 and 69,139.60 is: 95,432.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,468.82 : 157,999.90 = 69,139.60 : x
  2. Step 2: Convert to fraction form
    114,468.82/157,999.90 = 69,139.60/x
  3. Step 3: Cross multiply
    114,468.82x = 157,999.90 × 69,139.60
  4. Step 4: Simplify right side
    114,468.82x = 10,924,049,886.04
  5. Step 5: Solve for x
    x = 10,924,049,886.04/114,468.82
  6. Step 6: Final answer
    x = 95,432.54

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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.