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Finding the Fourth Proportional to 172,226.16, 257,965.40 and 83,293.18

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Solution

The fourth proportional to 172,226.16, 257,965.40 and 83,293.18 is: 124,758.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,226.16 : 257,965.40 = 83,293.18 : x
  2. Step 2: Convert to fraction form
    172,226.16/257,965.40 = 83,293.18/x
  3. Step 3: Cross multiply
    172,226.16x = 257,965.40 × 83,293.18
  4. Step 4: Simplify right side
    172,226.16x = 21,486,758,059.29
  5. Step 5: Solve for x
    x = 21,486,758,059.29/172,226.16
  6. Step 6: Final answer
    x = 124,758.97

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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.