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Finding the Fourth Proportional to 231,759.40, 347,639.10 and 148,815.40

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Solution

The fourth proportional to 231,759.40, 347,639.10 and 148,815.40 is: 223,223.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,759.40 : 347,639.10 = 148,815.40 : x
  2. Step 2: Convert to fraction form
    231,759.40/347,639.10 = 148,815.40/x
  3. Step 3: Cross multiply
    231,759.40x = 347,639.10 × 148,815.40
  4. Step 4: Simplify right side
    231,759.40x = 51,734,051,722.14
  5. Step 5: Solve for x
    x = 51,734,051,722.14/231,759.40
  6. Step 6: Final answer
    x = 223,223.10

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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.