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Finding the Fourth Proportional to 276,045.12, 414,155.20 and 98,548.32

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Solution

The fourth proportional to 276,045.12, 414,155.20 and 98,548.32 is: 147,853.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,045.12 : 414,155.20 = 98,548.32 : x
  2. Step 2: Convert to fraction form
    276,045.12/414,155.20 = 98,548.32/x
  3. Step 3: Cross multiply
    276,045.12x = 414,155.20 × 98,548.32
  4. Step 4: Simplify right side
    276,045.12x = 40,814,299,179.26
  5. Step 5: Solve for x
    x = 40,814,299,179.26/276,045.12
  6. Step 6: Final answer
    x = 147,853.72

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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.