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Finding the Fourth Proportional to 287,751.96, 397,102.68 and 160,413.48

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Solution

The fourth proportional to 287,751.96, 397,102.68 and 160,413.48 is: 221,373.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,751.96 : 397,102.68 = 160,413.48 : x
  2. Step 2: Convert to fraction form
    287,751.96/397,102.68 = 160,413.48/x
  3. Step 3: Cross multiply
    287,751.96x = 397,102.68 × 160,413.48
  4. Step 4: Simplify right side
    287,751.96x = 63,700,622,816.13
  5. Step 5: Solve for x
    x = 63,700,622,816.13/287,751.96
  6. Step 6: Final answer
    x = 221,373.38

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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.