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Finding the Fourth Proportional to 97,902.60, 146,853.90 and 58,439.40

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Solution

The fourth proportional to 97,902.60, 146,853.90 and 58,439.40 is: 87,659.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,902.60 : 146,853.90 = 58,439.40 : x
  2. Step 2: Convert to fraction form
    97,902.60/146,853.90 = 58,439.40/x
  3. Step 3: Cross multiply
    97,902.60x = 146,853.90 × 58,439.40
  4. Step 4: Simplify right side
    97,902.60x = 8,582,053,803.66
  5. Step 5: Solve for x
    x = 8,582,053,803.66/97,902.60
  6. Step 6: Final answer
    x = 87,659.10

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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.