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Finding the Fourth Proportional to 219,261.57, 328,865.01 and 61,502.32

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Solution

The fourth proportional to 219,261.57, 328,865.01 and 61,502.32 is: 92,245.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,261.57 : 328,865.01 = 61,502.32 : x
  2. Step 2: Convert to fraction form
    219,261.57/328,865.01 = 61,502.32/x
  3. Step 3: Cross multiply
    219,261.57x = 328,865.01 × 61,502.32
  4. Step 4: Simplify right side
    219,261.57x = 20,225,961,081.82
  5. Step 5: Solve for x
    x = 20,225,961,081.82/219,261.57
  6. Step 6: Final answer
    x = 92,245.81

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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.