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Finding the Fourth Proportional to 154,041.80, 231,062.70 and 147,918.20

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Solution

The fourth proportional to 154,041.80, 231,062.70 and 147,918.20 is: 221,877.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,041.80 : 231,062.70 = 147,918.20 : x
  2. Step 2: Convert to fraction form
    154,041.80/231,062.70 = 147,918.20/x
  3. Step 3: Cross multiply
    154,041.80x = 231,062.70 × 147,918.20
  4. Step 4: Simplify right side
    154,041.80x = 34,178,378,671.14
  5. Step 5: Solve for x
    x = 34,178,378,671.14/154,041.80
  6. Step 6: Final answer
    x = 221,877.30

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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.