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Finding the Fourth Proportional to 171,087.70, 256,339.95 and 146,010.10

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Solution

The fourth proportional to 171,087.70, 256,339.95 and 146,010.10 is: 218,766.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,087.70 : 256,339.95 = 146,010.10 : x
  2. Step 2: Convert to fraction form
    171,087.70/256,339.95 = 146,010.10/x
  3. Step 3: Cross multiply
    171,087.70x = 256,339.95 × 146,010.10
  4. Step 4: Simplify right side
    171,087.70x = 37,428,221,733.50
  5. Step 5: Solve for x
    x = 37,428,221,733.50/171,087.70
  6. Step 6: Final answer
    x = 218,766.29

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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.