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Finding the Fourth Proportional to 165,695.70, 228,669.30 and 97,752.54

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Solution

The fourth proportional to 165,695.70, 228,669.30 and 97,752.54 is: 134,903.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,695.70 : 228,669.30 = 97,752.54 : x
  2. Step 2: Convert to fraction form
    165,695.70/228,669.30 = 97,752.54/x
  3. Step 3: Cross multiply
    165,695.70x = 228,669.30 × 97,752.54
  4. Step 4: Simplify right side
    165,695.70x = 22,353,004,895.02
  5. Step 5: Solve for x
    x = 22,353,004,895.02/165,695.70
  6. Step 6: Final answer
    x = 134,903.95

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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.