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Finding the Fourth Proportional to 219,754.84, 329,291.25 and 152,418.34

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Solution

The fourth proportional to 219,754.84, 329,291.25 and 152,418.34 is: 228,390.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,754.84 : 329,291.25 = 152,418.34 : x
  2. Step 2: Convert to fraction form
    219,754.84/329,291.25 = 152,418.34/x
  3. Step 3: Cross multiply
    219,754.84x = 329,291.25 × 152,418.34
  4. Step 4: Simplify right side
    219,754.84x = 50,190,025,701.53
  5. Step 5: Solve for x
    x = 50,190,025,701.53/219,754.84
  6. Step 6: Final answer
    x = 228,390.99

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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.