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Finding the Fourth Proportional to 265,401.65, 398,207.73 and 96,932.94

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Solution

The fourth proportional to 265,401.65, 398,207.73 and 96,932.94 is: 145,437.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,401.65 : 398,207.73 = 96,932.94 : x
  2. Step 2: Convert to fraction form
    265,401.65/398,207.73 = 96,932.94/x
  3. Step 3: Cross multiply
    265,401.65x = 398,207.73 × 96,932.94
  4. Step 4: Simplify right side
    265,401.65x = 38,599,445,999.63
  5. Step 5: Solve for x
    x = 38,599,445,999.63/265,401.65
  6. Step 6: Final answer
    x = 145,437.85

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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.