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Finding the Fourth Proportional to 98,882, 136,457.16 and 54,170

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Solution

The fourth proportional to 98,882, 136,457.16 and 54,170 is: 74,754.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,882 : 136,457.16 = 54,170 : x
  2. Step 2: Convert to fraction form
    98,882/136,457.16 = 54,170/x
  3. Step 3: Cross multiply
    98,882x = 136,457.16 × 54,170
  4. Step 4: Simplify right side
    98,882x = 7,391,884,357.20
  5. Step 5: Solve for x
    x = 7,391,884,357.20/98,882
  6. Step 6: Final answer
    x = 74,754.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.