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Finding the Fourth Proportional to 215,892.20, 323,741.10 and 97,502.60

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Solution

The fourth proportional to 215,892.20, 323,741.10 and 97,502.60 is: 146,210.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,892.20 : 323,741.10 = 97,502.60 : x
  2. Step 2: Convert to fraction form
    215,892.20/323,741.10 = 97,502.60/x
  3. Step 3: Cross multiply
    215,892.20x = 323,741.10 × 97,502.60
  4. Step 4: Simplify right side
    215,892.20x = 31,565,598,976.86
  5. Step 5: Solve for x
    x = 31,565,598,976.86/215,892.20
  6. Step 6: Final answer
    x = 146,210.00

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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.