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Finding the Fourth Proportional to 343,114.65, 514,582.11 and 103,164.30

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Solution

The fourth proportional to 343,114.65, 514,582.11 and 103,164.30 is: 154,719.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,114.65 : 514,582.11 = 103,164.30 : x
  2. Step 2: Convert to fraction form
    343,114.65/514,582.11 = 103,164.30/x
  3. Step 3: Cross multiply
    343,114.65x = 514,582.11 × 103,164.30
  4. Step 4: Simplify right side
    343,114.65x = 53,086,503,170.67
  5. Step 5: Solve for x
    x = 53,086,503,170.67/343,114.65
  6. Step 6: Final answer
    x = 154,719.43

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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.