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Finding the Fourth Proportional to 165,733.61, 228,705.03 and 96,829.47

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Solution

The fourth proportional to 165,733.61, 228,705.03 and 96,829.47 is: 133,620.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,733.61 : 228,705.03 = 96,829.47 : x
  2. Step 2: Convert to fraction form
    165,733.61/228,705.03 = 96,829.47/x
  3. Step 3: Cross multiply
    165,733.61x = 228,705.03 × 96,829.47
  4. Step 4: Simplify right side
    165,733.61x = 22,145,386,841.23
  5. Step 5: Solve for x
    x = 22,145,386,841.23/165,733.61
  6. Step 6: Final answer
    x = 133,620.38

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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.