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Finding the Fourth Proportional to 154,474.60, 231,323.10 and 101,597.80

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Solution

The fourth proportional to 154,474.60, 231,323.10 and 101,597.80 is: 152,140.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,474.60 : 231,323.10 = 101,597.80 : x
  2. Step 2: Convert to fraction form
    154,474.60/231,323.10 = 101,597.80/x
  3. Step 3: Cross multiply
    154,474.60x = 231,323.10 × 101,597.80
  4. Step 4: Simplify right side
    154,474.60x = 23,501,918,049.18
  5. Step 5: Solve for x
    x = 23,501,918,049.18/154,474.60
  6. Step 6: Final answer
    x = 152,140.99

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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.