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Finding the Fourth Proportional to 144,712.10, 217,039.35 and 69,832.10

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Solution

The fourth proportional to 144,712.10, 217,039.35 and 69,832.10 is: 104,734.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,712.10 : 217,039.35 = 69,832.10 : x
  2. Step 2: Convert to fraction form
    144,712.10/217,039.35 = 69,832.10/x
  3. Step 3: Cross multiply
    144,712.10x = 217,039.35 × 69,832.10
  4. Step 4: Simplify right side
    144,712.10x = 15,156,313,593.14
  5. Step 5: Solve for x
    x = 15,156,313,593.14/144,712.10
  6. Step 6: Final answer
    x = 104,734.25

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1.5x scale

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.