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Finding the Fourth Proportional to 233,187.70, 321,856.05 and 152,809.78

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Solution

The fourth proportional to 233,187.70, 321,856.05 and 152,809.78 is: 210,914.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,187.70 : 321,856.05 = 152,809.78 : x
  2. Step 2: Convert to fraction form
    233,187.70/321,856.05 = 152,809.78/x
  3. Step 3: Cross multiply
    233,187.70x = 321,856.05 × 152,809.78
  4. Step 4: Simplify right side
    233,187.70x = 49,182,752,192.17
  5. Step 5: Solve for x
    x = 49,182,752,192.17/233,187.70
  6. Step 6: Final answer
    x = 210,914.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.