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Finding the Fourth Proportional to 97,647.60, 146,471.40 and 96,092.40

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Solution

The fourth proportional to 97,647.60, 146,471.40 and 96,092.40 is: 144,138.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,647.60 : 146,471.40 = 96,092.40 : x
  2. Step 2: Convert to fraction form
    97,647.60/146,471.40 = 96,092.40/x
  3. Step 3: Cross multiply
    97,647.60x = 146,471.40 × 96,092.40
  4. Step 4: Simplify right side
    97,647.60x = 14,074,788,357.36
  5. Step 5: Solve for x
    x = 14,074,788,357.36/97,647.60
  6. Step 6: Final answer
    x = 144,138.60

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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.