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Finding the Fourth Proportional to 165,842.24, 228,833.55 and 97,854.08

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Solution

The fourth proportional to 165,842.24, 228,833.55 and 97,854.08 is: 135,021.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,842.24 : 228,833.55 = 97,854.08 : x
  2. Step 2: Convert to fraction form
    165,842.24/228,833.55 = 97,854.08/x
  3. Step 3: Cross multiply
    165,842.24x = 228,833.55 × 97,854.08
  4. Step 4: Simplify right side
    165,842.24x = 22,392,296,508.38
  5. Step 5: Solve for x
    x = 22,392,296,508.38/165,842.24
  6. Step 6: Final answer
    x = 135,021.67

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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.