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Finding the Fourth Proportional to 232,608.83, 348,854.92 and 170,164.31

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Solution

The fourth proportional to 232,608.83, 348,854.92 and 170,164.31 is: 255,203.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,608.83 : 348,854.92 = 170,164.31 : x
  2. Step 2: Convert to fraction form
    232,608.83/348,854.92 = 170,164.31/x
  3. Step 3: Cross multiply
    232,608.83x = 348,854.92 × 170,164.31
  4. Step 4: Simplify right side
    232,608.83x = 59,362,656,751.91
  5. Step 5: Solve for x
    x = 59,362,656,751.91/232,608.83
  6. Step 6: Final answer
    x = 255,203.80

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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.