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Finding the Fourth Proportional to 343,203.90, 514,874.49 and 118,572.54

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Solution

The fourth proportional to 343,203.90, 514,874.49 and 118,572.54 is: 177,882.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,203.90 : 514,874.49 = 118,572.54 : x
  2. Step 2: Convert to fraction form
    343,203.90/514,874.49 = 118,572.54/x
  3. Step 3: Cross multiply
    343,203.90x = 514,874.49 × 118,572.54
  4. Step 4: Simplify right side
    343,203.90x = 61,049,976,060.50
  5. Step 5: Solve for x
    x = 61,049,976,060.50/343,203.90
  6. Step 6: Final answer
    x = 177,882.52

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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.