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Finding the Fourth Proportional to 163,033.24, 224,983.02 and 91,413.04

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Solution

The fourth proportional to 163,033.24, 224,983.02 and 91,413.04 is: 126,148.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,033.24 : 224,983.02 = 91,413.04 : x
  2. Step 2: Convert to fraction form
    163,033.24/224,983.02 = 91,413.04/x
  3. Step 3: Cross multiply
    163,033.24x = 224,983.02 × 91,413.04
  4. Step 4: Simplify right side
    163,033.24x = 20,566,381,806.58
  5. Step 5: Solve for x
    x = 20,566,381,806.58/163,033.24
  6. Step 6: Final answer
    x = 126,148.40

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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.