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Finding the Fourth Proportional to 160,009.41, 220,813.11 and 87,413.30

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Solution

The fourth proportional to 160,009.41, 220,813.11 and 87,413.30 is: 120,630.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,009.41 : 220,813.11 = 87,413.30 : x
  2. Step 2: Convert to fraction form
    160,009.41/220,813.11 = 87,413.30/x
  3. Step 3: Cross multiply
    160,009.41x = 220,813.11 × 87,413.30
  4. Step 4: Simplify right side
    160,009.41x = 19,302,002,628.36
  5. Step 5: Solve for x
    x = 19,302,002,628.36/160,009.41
  6. Step 6: Final answer
    x = 120,630.42

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1.5x scale

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.