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Finding the Fourth Proportional to 98,080, 147,120.36 and 24,208

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Solution

The fourth proportional to 98,080, 147,120.36 and 24,208 is: 36,312.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,080 : 147,120.36 = 24,208 : x
  2. Step 2: Convert to fraction form
    98,080/147,120.36 = 24,208/x
  3. Step 3: Cross multiply
    98,080x = 147,120.36 × 24,208
  4. Step 4: Simplify right side
    98,080x = 3,561,489,674.88
  5. Step 5: Solve for x
    x = 3,561,489,674.88/98,080
  6. Step 6: Final answer
    x = 36,312.09

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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.