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Finding the Fourth Proportional to 232,883.40, 349,325.10 and 106,523.40

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Solution

The fourth proportional to 232,883.40, 349,325.10 and 106,523.40 is: 159,785.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,883.40 : 349,325.10 = 106,523.40 : x
  2. Step 2: Convert to fraction form
    232,883.40/349,325.10 = 106,523.40/x
  3. Step 3: Cross multiply
    232,883.40x = 349,325.10 × 106,523.40
  4. Step 4: Simplify right side
    232,883.40x = 37,211,297,357.34
  5. Step 5: Solve for x
    x = 37,211,297,357.34/232,883.40
  6. Step 6: Final answer
    x = 159,785.10

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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.