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Finding the Fourth Proportional to 99,164.52, 136,847.97 and 53,842.98

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Solution

The fourth proportional to 99,164.52, 136,847.97 and 53,842.98 is: 74,303.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,164.52 : 136,847.97 = 53,842.98 : x
  2. Step 2: Convert to fraction form
    99,164.52/136,847.97 = 53,842.98/x
  3. Step 3: Cross multiply
    99,164.52x = 136,847.97 × 53,842.98
  4. Step 4: Simplify right side
    99,164.52x = 7,368,302,511.75
  5. Step 5: Solve for x
    x = 7,368,302,511.75/99,164.52
  6. Step 6: Final answer
    x = 74,303.82

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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.