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Finding the Fourth Proportional to 228,876.10, 343,346.55 and 71,088.10

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Solution

The fourth proportional to 228,876.10, 343,346.55 and 71,088.10 is: 106,642.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,876.10 : 343,346.55 = 71,088.10 : x
  2. Step 2: Convert to fraction form
    228,876.10/343,346.55 = 71,088.10/x
  3. Step 3: Cross multiply
    228,876.10x = 343,346.55 × 71,088.10
  4. Step 4: Simplify right side
    228,876.10x = 24,407,853,881.06
  5. Step 5: Solve for x
    x = 24,407,853,881.06/228,876.10
  6. Step 6: Final answer
    x = 106,642.21

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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.