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Finding the Fourth Proportional to 230,475.60, 317,943.27 and 154,013.49

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Solution

The fourth proportional to 230,475.60, 317,943.27 and 154,013.49 is: 212,463.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,475.60 : 317,943.27 = 154,013.49 : x
  2. Step 2: Convert to fraction form
    230,475.60/317,943.27 = 154,013.49/x
  3. Step 3: Cross multiply
    230,475.60x = 317,943.27 × 154,013.49
  4. Step 4: Simplify right side
    230,475.60x = 48,967,552,634.71
  5. Step 5: Solve for x
    x = 48,967,552,634.71/230,475.60
  6. Step 6: Final answer
    x = 212,463.07

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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.