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Finding the Fourth Proportional to 255,378.57, 382,934.84 and 95,322.89

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Solution

The fourth proportional to 255,378.57, 382,934.84 and 95,322.89 is: 142,934.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,378.57 : 382,934.84 = 95,322.89 : x
  2. Step 2: Convert to fraction form
    255,378.57/382,934.84 = 95,322.89/x
  3. Step 3: Cross multiply
    255,378.57x = 382,934.84 × 95,322.89
  4. Step 4: Simplify right side
    255,378.57x = 36,502,453,239.20
  5. Step 5: Solve for x
    x = 36,502,453,239.20/255,378.57
  6. Step 6: Final answer
    x = 142,934.68

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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.