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Finding the Fourth Proportional to 98,423.68, 147,413.56 and 45,722.26

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Solution

The fourth proportional to 98,423.68, 147,413.56 and 45,722.26 is: 68,480.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,423.68 : 147,413.56 = 45,722.26 : x
  2. Step 2: Convert to fraction form
    98,423.68/147,413.56 = 45,722.26/x
  3. Step 3: Cross multiply
    98,423.68x = 147,413.56 × 45,722.26
  4. Step 4: Simplify right side
    98,423.68x = 6,740,081,117.85
  5. Step 5: Solve for x
    x = 6,740,081,117.85/98,423.68
  6. Step 6: Final answer
    x = 68,480.28

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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.