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Finding the Fourth Proportional to 99,296.61, 136,897.66 and 82,238.01

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Solution

The fourth proportional to 99,296.61, 136,897.66 and 82,238.01 is: 113,379.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,296.61 : 136,897.66 = 82,238.01 : x
  2. Step 2: Convert to fraction form
    99,296.61/136,897.66 = 82,238.01/x
  3. Step 3: Cross multiply
    99,296.61x = 136,897.66 × 82,238.01
  4. Step 4: Simplify right side
    99,296.61x = 11,258,191,132.06
  5. Step 5: Solve for x
    x = 11,258,191,132.06/99,296.61
  6. Step 6: Final answer
    x = 113,379.41

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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.