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Finding the Fourth Proportional to 252,413.80, 378,595.86 and 102,663.04

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Solution

The fourth proportional to 252,413.80, 378,595.86 and 102,663.04 is: 153,984.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,413.80 : 378,595.86 = 102,663.04 : x
  2. Step 2: Convert to fraction form
    252,413.80/378,595.86 = 102,663.04/x
  3. Step 3: Cross multiply
    252,413.80x = 378,595.86 × 102,663.04
  4. Step 4: Simplify right side
    252,413.80x = 38,867,801,919.01
  5. Step 5: Solve for x
    x = 38,867,801,919.01/252,413.80
  6. Step 6: Final answer
    x = 153,984.46

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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.