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Finding the Fourth Proportional to 256,134.15, 384,251.04 and 98,351.01

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Solution

The fourth proportional to 256,134.15, 384,251.04 and 98,351.01 is: 147,545.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,134.15 : 384,251.04 = 98,351.01 : x
  2. Step 2: Convert to fraction form
    256,134.15/384,251.04 = 98,351.01/x
  3. Step 3: Cross multiply
    256,134.15x = 384,251.04 × 98,351.01
  4. Step 4: Simplify right side
    256,134.15x = 37,791,477,877.55
  5. Step 5: Solve for x
    x = 37,791,477,877.55/256,134.15
  6. Step 6: Final answer
    x = 147,545.64

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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.