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Finding the Fourth Proportional to 154,497.20, 231,918.60 and 144,345.20

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Solution

The fourth proportional to 154,497.20, 231,918.60 and 144,345.20 is: 216,679.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,497.20 : 231,918.60 = 144,345.20 : x
  2. Step 2: Convert to fraction form
    154,497.20/231,918.60 = 144,345.20/x
  3. Step 3: Cross multiply
    154,497.20x = 231,918.60 × 144,345.20
  4. Step 4: Simplify right side
    154,497.20x = 33,476,336,700.72
  5. Step 5: Solve for x
    x = 33,476,336,700.72/154,497.20
  6. Step 6: Final answer
    x = 216,679.25

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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.