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Finding the Fourth Proportional to 156,833.82, 216,430.25 and 85,214.09

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Solution

The fourth proportional to 156,833.82, 216,430.25 and 85,214.09 is: 117,595.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,833.82 : 216,430.25 = 85,214.09 : x
  2. Step 2: Convert to fraction form
    156,833.82/216,430.25 = 85,214.09/x
  3. Step 3: Cross multiply
    156,833.82x = 216,430.25 × 85,214.09
  4. Step 4: Simplify right side
    156,833.82x = 18,442,906,917.23
  5. Step 5: Solve for x
    x = 18,442,906,917.23/156,833.82
  6. Step 6: Final answer
    x = 117,595.22

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1.5x scale

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.