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Finding the Fourth Proportional to 98,084.16, 147,148.32 and 35,754.88

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Solution

The fourth proportional to 98,084.16, 147,148.32 and 35,754.88 is: 53,640.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,084.16 : 147,148.32 = 35,754.88 : x
  2. Step 2: Convert to fraction form
    98,084.16/147,148.32 = 35,754.88/x
  3. Step 3: Cross multiply
    98,084.16x = 147,148.32 × 35,754.88
  4. Step 4: Simplify right side
    98,084.16x = 5,261,270,523.80
  5. Step 5: Solve for x
    x = 5,261,270,523.80/98,084.16
  6. Step 6: Final answer
    x = 53,640.37

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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.