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Finding the Fourth Proportional to 343,411.32, 515,114.52 and 106,753.60

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Solution

The fourth proportional to 343,411.32, 515,114.52 and 106,753.60 is: 160,129.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,411.32 : 515,114.52 = 106,753.60 : x
  2. Step 2: Convert to fraction form
    343,411.32/515,114.52 = 106,753.60/x
  3. Step 3: Cross multiply
    343,411.32x = 515,114.52 × 106,753.60
  4. Step 4: Simplify right side
    343,411.32x = 54,990,329,422.27
  5. Step 5: Solve for x
    x = 54,990,329,422.27/343,411.32
  6. Step 6: Final answer
    x = 160,129.64

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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.