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Finding the Fourth Proportional to 230,319.30, 344,698.65 and 141,628.98

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Solution

The fourth proportional to 230,319.30, 344,698.65 and 141,628.98 is: 211,963.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,319.30 : 344,698.65 = 141,628.98 : x
  2. Step 2: Convert to fraction form
    230,319.30/344,698.65 = 141,628.98/x
  3. Step 3: Cross multiply
    230,319.30x = 344,698.65 × 141,628.98
  4. Step 4: Simplify right side
    230,319.30x = 48,819,318,206.88
  5. Step 5: Solve for x
    x = 48,819,318,206.88/230,319.30
  6. Step 6: Final answer
    x = 211,963.64

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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.