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Finding the Fourth Proportional to 165,678, 228,657.24 and 98,610

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Solution

The fourth proportional to 165,678, 228,657.24 and 98,610 is: 136,094.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,678 : 228,657.24 = 98,610 : x
  2. Step 2: Convert to fraction form
    165,678/228,657.24 = 98,610/x
  3. Step 3: Cross multiply
    165,678x = 228,657.24 × 98,610
  4. Step 4: Simplify right side
    165,678x = 22,547,890,436.40
  5. Step 5: Solve for x
    x = 22,547,890,436.40/165,678
  6. Step 6: Final answer
    x = 136,094.66

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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.