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Finding the Fourth Proportional to 255,523.70, 383,431.35 and 97,865.30

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Solution

The fourth proportional to 255,523.70, 383,431.35 and 97,865.30 is: 146,853.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,523.70 : 383,431.35 = 97,865.30 : x
  2. Step 2: Convert to fraction form
    255,523.70/383,431.35 = 97,865.30/x
  3. Step 3: Cross multiply
    255,523.70x = 383,431.35 × 97,865.30
  4. Step 4: Simplify right side
    255,523.70x = 37,524,624,097.16
  5. Step 5: Solve for x
    x = 37,524,624,097.16/255,523.70
  6. Step 6: Final answer
    x = 146,853.79

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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.