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Finding the Fourth Proportional to 230,192.95, 317,715.29 and 154,697.71

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Solution

The fourth proportional to 230,192.95, 317,715.29 and 154,697.71 is: 213,515.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,192.95 : 317,715.29 = 154,697.71 : x
  2. Step 2: Convert to fraction form
    230,192.95/317,715.29 = 154,697.71/x
  3. Step 3: Cross multiply
    230,192.95x = 317,715.29 × 154,697.71
  4. Step 4: Simplify right side
    230,192.95x = 49,149,827,794.99
  5. Step 5: Solve for x
    x = 49,149,827,794.99/230,192.95
  6. Step 6: Final answer
    x = 213,515.78

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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.