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Finding the Fourth Proportional to 102,796.98, 141,742.35 and 83,624.28

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Solution

The fourth proportional to 102,796.98, 141,742.35 and 83,624.28 is: 115,305.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,796.98 : 141,742.35 = 83,624.28 : x
  2. Step 2: Convert to fraction form
    102,796.98/141,742.35 = 83,624.28/x
  3. Step 3: Cross multiply
    102,796.98x = 141,742.35 × 83,624.28
  4. Step 4: Simplify right side
    102,796.98x = 11,853,101,964.26
  5. Step 5: Solve for x
    x = 11,853,101,964.26/102,796.98
  6. Step 6: Final answer
    x = 115,305.94

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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.