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Finding the Fourth Proportional to 98,618, 136,092.84 and 53,906

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Solution

The fourth proportional to 98,618, 136,092.84 and 53,906 is: 74,390.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,618 : 136,092.84 = 53,906 : x
  2. Step 2: Convert to fraction form
    98,618/136,092.84 = 53,906/x
  3. Step 3: Cross multiply
    98,618x = 136,092.84 × 53,906
  4. Step 4: Simplify right side
    98,618x = 7,336,220,633.04
  5. Step 5: Solve for x
    x = 7,336,220,633.04/98,618
  6. Step 6: Final answer
    x = 74,390.28

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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.