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Finding the Fourth Proportional to 154,143.74, 231,226.95 and 65,387.18

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Solution

The fourth proportional to 154,143.74, 231,226.95 and 65,387.18 is: 98,085.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,143.74 : 231,226.95 = 65,387.18 : x
  2. Step 2: Convert to fraction form
    154,143.74/231,226.95 = 65,387.18/x
  3. Step 3: Cross multiply
    154,143.74x = 231,226.95 × 65,387.18
  4. Step 4: Simplify right side
    154,143.74x = 15,119,278,200.50
  5. Step 5: Solve for x
    x = 15,119,278,200.50/154,143.74
  6. Step 6: Final answer
    x = 98,085.58

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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.