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Finding the Fourth Proportional to 185,436.53, 278,082 and 65,467.87

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Solution

The fourth proportional to 185,436.53, 278,082 and 65,467.87 is: 98,176.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,436.53 : 278,082 = 65,467.87 : x
  2. Step 2: Convert to fraction form
    185,436.53/278,082 = 65,467.87/x
  3. Step 3: Cross multiply
    185,436.53x = 278,082 × 65,467.87
  4. Step 4: Simplify right side
    185,436.53x = 18,205,436,225.34
  5. Step 5: Solve for x
    x = 18,205,436,225.34/185,436.53
  6. Step 6: Final answer
    x = 98,176.10

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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.