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Finding the Fourth Proportional to 218,894.76, 328,342.20 and 52,682.76

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Solution

The fourth proportional to 218,894.76, 328,342.20 and 52,682.76 is: 79,024.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,894.76 : 328,342.20 = 52,682.76 : x
  2. Step 2: Convert to fraction form
    218,894.76/328,342.20 = 52,682.76/x
  3. Step 3: Cross multiply
    218,894.76x = 328,342.20 × 52,682.76
  4. Step 4: Simplify right side
    218,894.76x = 17,297,973,320.47
  5. Step 5: Solve for x
    x = 17,297,973,320.47/218,894.76
  6. Step 6: Final answer
    x = 79,024.15

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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.