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Finding the Fourth Proportional to 219,382.35, 328,511.72 and 151,820.84

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Solution

The fourth proportional to 219,382.35, 328,511.72 and 151,820.84 is: 227,342.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,382.35 : 328,511.72 = 151,820.84 : x
  2. Step 2: Convert to fraction form
    219,382.35/328,511.72 = 151,820.84/x
  3. Step 3: Cross multiply
    219,382.35x = 328,511.72 × 151,820.84
  4. Step 4: Simplify right side
    219,382.35x = 49,874,924,017.24
  5. Step 5: Solve for x
    x = 49,874,924,017.24/219,382.35
  6. Step 6: Final answer
    x = 227,342.46

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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.