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Finding the Fourth Proportional to 219,508.12, 302,922.66 and 118,906.12

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Solution

The fourth proportional to 219,508.12, 302,922.66 and 118,906.12 is: 164,091.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,508.12 : 302,922.66 = 118,906.12 : x
  2. Step 2: Convert to fraction form
    219,508.12/302,922.66 = 118,906.12/x
  3. Step 3: Cross multiply
    219,508.12x = 302,922.66 × 118,906.12
  4. Step 4: Simplify right side
    219,508.12x = 36,019,358,160.68
  5. Step 5: Solve for x
    x = 36,019,358,160.68/219,508.12
  6. Step 6: Final answer
    x = 164,091.23

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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.