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Finding the Fourth Proportional to 265,609, 366,540.42 and 146,377

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Solution

The fourth proportional to 265,609, 366,540.42 and 146,377 is: 202,000.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,609 : 366,540.42 = 146,377 : x
  2. Step 2: Convert to fraction form
    265,609/366,540.42 = 146,377/x
  3. Step 3: Cross multiply
    265,609x = 366,540.42 × 146,377
  4. Step 4: Simplify right side
    265,609x = 53,653,087,058.34
  5. Step 5: Solve for x
    x = 53,653,087,058.34/265,609
  6. Step 6: Final answer
    x = 202,000.26

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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.