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Finding the Fourth Proportional to 265,494.42, 398,002.50 and 96,896.45

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Solution

The fourth proportional to 265,494.42, 398,002.50 and 96,896.45 is: 145,257.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,494.42 : 398,002.50 = 96,896.45 : x
  2. Step 2: Convert to fraction form
    265,494.42/398,002.50 = 96,896.45/x
  3. Step 3: Cross multiply
    265,494.42x = 398,002.50 × 96,896.45
  4. Step 4: Simplify right side
    265,494.42x = 38,565,029,341.13
  5. Step 5: Solve for x
    x = 38,565,029,341.13/265,494.42
  6. Step 6: Final answer
    x = 145,257.40

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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.