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Finding the Fourth Proportional to 202,718.16, 279,751.68 and 113,294.16

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Solution

The fourth proportional to 202,718.16, 279,751.68 and 113,294.16 is: 156,346.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,718.16 : 279,751.68 = 113,294.16 : x
  2. Step 2: Convert to fraction form
    202,718.16/279,751.68 = 113,294.16/x
  3. Step 3: Cross multiply
    202,718.16x = 279,751.68 × 113,294.16
  4. Step 4: Simplify right side
    202,718.16x = 31,694,231,594.19
  5. Step 5: Solve for x
    x = 31,694,231,594.19/202,718.16
  6. Step 6: Final answer
    x = 156,346.29

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1.5x scale

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.