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Finding the Fourth Proportional to 98,352.96, 147,391.20 and 73,746.24

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Solution

The fourth proportional to 98,352.96, 147,391.20 and 73,746.24 is: 110,515.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,352.96 : 147,391.20 = 73,746.24 : x
  2. Step 2: Convert to fraction form
    98,352.96/147,391.20 = 73,746.24/x
  3. Step 3: Cross multiply
    98,352.96x = 147,391.20 × 73,746.24
  4. Step 4: Simplify right side
    98,352.96x = 10,869,546,809.09
  5. Step 5: Solve for x
    x = 10,869,546,809.09/98,352.96
  6. Step 6: Final answer
    x = 110,515.71

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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.