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Finding the Fourth Proportional to 341,773.80, 512,699.10 and 105,114.60

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Solution

The fourth proportional to 341,773.80, 512,699.10 and 105,114.60 is: 157,683.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,773.80 : 512,699.10 = 105,114.60 : x
  2. Step 2: Convert to fraction form
    341,773.80/512,699.10 = 105,114.60/x
  3. Step 3: Cross multiply
    341,773.80x = 512,699.10 × 105,114.60
  4. Step 4: Simplify right side
    341,773.80x = 53,892,160,816.86
  5. Step 5: Solve for x
    x = 53,892,160,816.86/341,773.80
  6. Step 6: Final answer
    x = 157,683.71

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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.