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Finding the Fourth Proportional to 265,793, 366,794.34 and 146,561

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Solution

The fourth proportional to 265,793, 366,794.34 and 146,561 is: 202,254.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,793 : 366,794.34 = 146,561 : x
  2. Step 2: Convert to fraction form
    265,793/366,794.34 = 146,561/x
  3. Step 3: Cross multiply
    265,793x = 366,794.34 × 146,561
  4. Step 4: Simplify right side
    265,793x = 53,757,745,264.74
  5. Step 5: Solve for x
    x = 53,757,745,264.74/265,793
  6. Step 6: Final answer
    x = 202,254.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.