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Finding the Fourth Proportional to 255,680.75, 383,576.49 and 97,909.20

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Solution

The fourth proportional to 255,680.75, 383,576.49 and 97,909.20 is: 146,885.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,680.75 : 383,576.49 = 97,909.20 : x
  2. Step 2: Convert to fraction form
    255,680.75/383,576.49 = 97,909.20/x
  3. Step 3: Cross multiply
    255,680.75x = 383,576.49 × 97,909.20
  4. Step 4: Simplify right side
    255,680.75x = 37,555,667,274.71
  5. Step 5: Solve for x
    x = 37,555,667,274.71/255,680.75
  6. Step 6: Final answer
    x = 146,885.00

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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.