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Finding the Fourth Proportional to 109,898.46, 151,659.96 and 59,597.46

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Solution

The fourth proportional to 109,898.46, 151,659.96 and 59,597.46 is: 82,244.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,898.46 : 151,659.96 = 59,597.46 : x
  2. Step 2: Convert to fraction form
    109,898.46/151,659.96 = 59,597.46/x
  3. Step 3: Cross multiply
    109,898.46x = 151,659.96 × 59,597.46
  4. Step 4: Simplify right side
    109,898.46x = 9,038,548,399.70
  5. Step 5: Solve for x
    x = 9,038,548,399.70/109,898.46
  6. Step 6: Final answer
    x = 82,244.54

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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.