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Finding the Fourth Proportional to 219,294.32, 328,837.77 and 100,930.64

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Solution

The fourth proportional to 219,294.32, 328,837.77 and 100,930.64 is: 151,348.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,294.32 : 328,837.77 = 100,930.64 : x
  2. Step 2: Convert to fraction form
    219,294.32/328,837.77 = 100,930.64/x
  3. Step 3: Cross multiply
    219,294.32x = 328,837.77 × 100,930.64
  4. Step 4: Simplify right side
    219,294.32x = 33,189,804,938.08
  5. Step 5: Solve for x
    x = 33,189,804,938.08/219,294.32
  6. Step 6: Final answer
    x = 151,348.22

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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.