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Finding the Fourth Proportional to 165,434.92, 228,293.28 and 97,454.68

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Solution

The fourth proportional to 165,434.92, 228,293.28 and 97,454.68 is: 134,483.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,434.92 : 228,293.28 = 97,454.68 : x
  2. Step 2: Convert to fraction form
    165,434.92/228,293.28 = 97,454.68/x
  3. Step 3: Cross multiply
    165,434.92x = 228,293.28 × 97,454.68
  4. Step 4: Simplify right side
    165,434.92x = 22,248,248,548.55
  5. Step 5: Solve for x
    x = 22,248,248,548.55/165,434.92
  6. Step 6: Final answer
    x = 134,483.39

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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.