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Finding the Fourth Proportional to 219,951.66, 303,781.95 and 148,207.14

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Solution

The fourth proportional to 219,951.66, 303,781.95 and 148,207.14 is: 204,693.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,951.66 : 303,781.95 = 148,207.14 : x
  2. Step 2: Convert to fraction form
    219,951.66/303,781.95 = 148,207.14/x
  3. Step 3: Cross multiply
    219,951.66x = 303,781.95 × 148,207.14
  4. Step 4: Simplify right side
    219,951.66x = 45,022,653,993.12
  5. Step 5: Solve for x
    x = 45,022,653,993.12/219,951.66
  6. Step 6: Final answer
    x = 204,693.40

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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.