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Finding the Fourth Proportional to 219,224.88, 328,815.86 and 148,601.25

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Solution

The fourth proportional to 219,224.88, 328,815.86 and 148,601.25 is: 222,887.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,224.88 : 328,815.86 = 148,601.25 : x
  2. Step 2: Convert to fraction form
    219,224.88/328,815.86 = 148,601.25/x
  3. Step 3: Cross multiply
    219,224.88x = 328,815.86 × 148,601.25
  4. Step 4: Simplify right side
    219,224.88x = 48,862,447,072.82
  5. Step 5: Solve for x
    x = 48,862,447,072.82/219,224.88
  6. Step 6: Final answer
    x = 222,887.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.