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Finding the Fourth Proportional to 265,832.36, 398,631.50 and 97,308.92

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Solution

The fourth proportional to 265,832.36, 398,631.50 and 97,308.92 is: 145,920.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,832.36 : 398,631.50 = 97,308.92 : x
  2. Step 2: Convert to fraction form
    265,832.36/398,631.50 = 97,308.92/x
  3. Step 3: Cross multiply
    265,832.36x = 398,631.50 × 97,308.92
  4. Step 4: Simplify right side
    265,832.36x = 38,790,400,742.98
  5. Step 5: Solve for x
    x = 38,790,400,742.98/265,832.36
  6. Step 6: Final answer
    x = 145,920.54

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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.