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Finding the Fourth Proportional to 185,436.65, 278,082.18 and 65,468

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Solution

The fourth proportional to 185,436.65, 278,082.18 and 65,468 is: 98,176.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,436.65 : 278,082.18 = 65,468 : x
  2. Step 2: Convert to fraction form
    185,436.65/278,082.18 = 65,468/x
  3. Step 3: Cross multiply
    185,436.65x = 278,082.18 × 65,468
  4. Step 4: Simplify right side
    185,436.65x = 18,205,484,160.24
  5. Step 5: Solve for x
    x = 18,205,484,160.24/185,436.65
  6. Step 6: Final answer
    x = 98,176.30

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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.