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Finding the Fourth Proportional to 341,777.80, 512,705.10 and 105,118.60

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Solution

The fourth proportional to 341,777.80, 512,705.10 and 105,118.60 is: 157,689.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,777.80 : 512,705.10 = 105,118.60 : x
  2. Step 2: Convert to fraction form
    341,777.80/512,705.10 = 105,118.60/x
  3. Step 3: Cross multiply
    341,777.80x = 512,705.10 × 105,118.60
  4. Step 4: Simplify right side
    341,777.80x = 53,894,842,324.86
  5. Step 5: Solve for x
    x = 53,894,842,324.86/341,777.80
  6. Step 6: Final answer
    x = 157,689.71

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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.