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Finding the Fourth Proportional to 201,773.16, 278,442.90 and 126,363.24

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Solution

The fourth proportional to 201,773.16, 278,442.90 and 126,363.24 is: 174,378.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,773.16 : 278,442.90 = 126,363.24 : x
  2. Step 2: Convert to fraction form
    201,773.16/278,442.90 = 126,363.24/x
  3. Step 3: Cross multiply
    201,773.16x = 278,442.90 × 126,363.24
  4. Step 4: Simplify right side
    201,773.16x = 35,184,946,999.00
  5. Step 5: Solve for x
    x = 35,184,946,999.00/201,773.16
  6. Step 6: Final answer
    x = 174,378.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.