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Finding the Fourth Proportional to 265,732.04, 398,596.44 and 97,264.09

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Solution

The fourth proportional to 265,732.04, 398,596.44 and 97,264.09 is: 145,895.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,732.04 : 398,596.44 = 97,264.09 : x
  2. Step 2: Convert to fraction form
    265,732.04/398,596.44 = 97,264.09/x
  3. Step 3: Cross multiply
    265,732.04x = 398,596.44 × 97,264.09
  4. Step 4: Simplify right side
    265,732.04x = 38,769,120,876.83
  5. Step 5: Solve for x
    x = 38,769,120,876.83/265,732.04
  6. Step 6: Final answer
    x = 145,895.54

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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.