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Finding the Fourth Proportional to 230,425.95, 317,832.22 and 200,158.55

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Solution

The fourth proportional to 230,425.95, 317,832.22 and 200,158.55 is: 276,083.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,425.95 : 317,832.22 = 200,158.55 : x
  2. Step 2: Convert to fraction form
    230,425.95/317,832.22 = 200,158.55/x
  3. Step 3: Cross multiply
    230,425.95x = 317,832.22 × 200,158.55
  4. Step 4: Simplify right side
    230,425.95x = 63,616,836,298.48
  5. Step 5: Solve for x
    x = 63,616,836,298.48/230,425.95
  6. Step 6: Final answer
    x = 276,083.65

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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.