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Finding the Fourth Proportional to 98,202.96, 147,321.72 and 35,960.40

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Solution

The fourth proportional to 98,202.96, 147,321.72 and 35,960.40 is: 53,946.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,202.96 : 147,321.72 = 35,960.40 : x
  2. Step 2: Convert to fraction form
    98,202.96/147,321.72 = 35,960.40/x
  3. Step 3: Cross multiply
    98,202.96x = 147,321.72 × 35,960.40
  4. Step 4: Simplify right side
    98,202.96x = 5,297,747,979.89
  5. Step 5: Solve for x
    x = 5,297,747,979.89/98,202.96
  6. Step 6: Final answer
    x = 53,946.93

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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.