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Finding the Fourth Proportional to 98,113.68, 147,192.48 and 35,784.18

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Solution

The fourth proportional to 98,113.68, 147,192.48 and 35,784.18 is: 53,684.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,113.68 : 147,192.48 = 35,784.18 : x
  2. Step 2: Convert to fraction form
    98,113.68/147,192.48 = 35,784.18/x
  3. Step 3: Cross multiply
    98,113.68x = 147,192.48 × 35,784.18
  4. Step 4: Simplify right side
    98,113.68x = 5,267,162,198.97
  5. Step 5: Solve for x
    x = 5,267,162,198.97/98,113.68
  6. Step 6: Final answer
    x = 53,684.28

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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.