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Finding the Fourth Proportional to 165,674, 228,651.72 and 98,606

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Solution

The fourth proportional to 165,674, 228,651.72 and 98,606 is: 136,089.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,674 : 228,651.72 = 98,606 : x
  2. Step 2: Convert to fraction form
    165,674/228,651.72 = 98,606/x
  3. Step 3: Cross multiply
    165,674x = 228,651.72 × 98,606
  4. Step 4: Simplify right side
    165,674x = 22,546,431,502.32
  5. Step 5: Solve for x
    x = 22,546,431,502.32/165,674
  6. Step 6: Final answer
    x = 136,089.14

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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.