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Finding the Fourth Proportional to 165,677, 228,655.86 and 98,609

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Solution

The fourth proportional to 165,677, 228,655.86 and 98,609 is: 136,093.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,677 : 228,655.86 = 98,609 : x
  2. Step 2: Convert to fraction form
    165,677/228,655.86 = 98,609/x
  3. Step 3: Cross multiply
    165,677x = 228,655.86 × 98,609
  4. Step 4: Simplify right side
    165,677x = 22,547,525,698.74
  5. Step 5: Solve for x
    x = 22,547,525,698.74/165,677
  6. Step 6: Final answer
    x = 136,093.28

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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.