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Finding the Fourth Proportional to 255,269.52, 382,854.87 and 97,460.46

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Solution

The fourth proportional to 255,269.52, 382,854.87 and 97,460.46 is: 146,171.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,269.52 : 382,854.87 = 97,460.46 : x
  2. Step 2: Convert to fraction form
    255,269.52/382,854.87 = 97,460.46/x
  3. Step 3: Cross multiply
    255,269.52x = 382,854.87 × 97,460.46
  4. Step 4: Simplify right side
    255,269.52x = 37,313,211,743.44
  5. Step 5: Solve for x
    x = 37,313,211,743.44/255,269.52
  6. Step 6: Final answer
    x = 146,171.83

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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.