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Finding the Fourth Proportional to 219,733.40, 329,600.10 and 53,521.40

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Solution

The fourth proportional to 219,733.40, 329,600.10 and 53,521.40 is: 80,282.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,733.40 : 329,600.10 = 53,521.40 : x
  2. Step 2: Convert to fraction form
    219,733.40/329,600.10 = 53,521.40/x
  3. Step 3: Cross multiply
    219,733.40x = 329,600.10 × 53,521.40
  4. Step 4: Simplify right side
    219,733.40x = 17,640,658,792.14
  5. Step 5: Solve for x
    x = 17,640,658,792.14/219,733.40
  6. Step 6: Final answer
    x = 80,282.10

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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.