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Finding the Fourth Proportional to 219,175.52, 328,747.08 and 106,507.76

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Solution

The fourth proportional to 219,175.52, 328,747.08 and 106,507.76 is: 159,753.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,175.52 : 328,747.08 = 106,507.76 : x
  2. Step 2: Convert to fraction form
    219,175.52/328,747.08 = 106,507.76/x
  3. Step 3: Cross multiply
    219,175.52x = 328,747.08 × 106,507.76
  4. Step 4: Simplify right side
    219,175.52x = 35,014,115,097.34
  5. Step 5: Solve for x
    x = 35,014,115,097.34/219,175.52
  6. Step 6: Final answer
    x = 159,753.77

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1.5x scale

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.