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Finding the Fourth Proportional to 343,147.23, 514,657.67 and 143,414.01

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Solution

The fourth proportional to 343,147.23, 514,657.67 and 143,414.01 is: 215,094.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,147.23 : 514,657.67 = 143,414.01 : x
  2. Step 2: Convert to fraction form
    343,147.23/514,657.67 = 143,414.01/x
  3. Step 3: Cross multiply
    343,147.23x = 514,657.67 × 143,414.01
  4. Step 4: Simplify right side
    343,147.23x = 73,809,119,514.89
  5. Step 5: Solve for x
    x = 73,809,119,514.89/343,147.23
  6. Step 6: Final answer
    x = 215,094.61

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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.