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Finding the Fourth Proportional to 98,261, 135,601.14 and 53,549.96

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Solution

The fourth proportional to 98,261, 135,601.14 and 53,549.96 is: 73,899.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,261 : 135,601.14 = 53,549.96 : x
  2. Step 2: Convert to fraction form
    98,261/135,601.14 = 53,549.96/x
  3. Step 3: Cross multiply
    98,261x = 135,601.14 × 53,549.96
  4. Step 4: Simplify right side
    98,261x = 7,261,435,622.95
  5. Step 5: Solve for x
    x = 7,261,435,622.95/98,261
  6. Step 6: Final answer
    x = 73,899.47

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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.