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Finding the Fourth Proportional to 230,214.46, 317,744.96 and 154,719.22

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Solution

The fourth proportional to 230,214.46, 317,744.96 and 154,719.22 is: 213,545.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,214.46 : 317,744.96 = 154,719.22 : x
  2. Step 2: Convert to fraction form
    230,214.46/317,744.96 = 154,719.22/x
  3. Step 3: Cross multiply
    230,214.46x = 317,744.96 × 154,719.22
  4. Step 4: Simplify right side
    230,214.46x = 49,161,252,370.13
  5. Step 5: Solve for x
    x = 49,161,252,370.13/230,214.46
  6. Step 6: Final answer
    x = 213,545.46

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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.