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Finding the Fourth Proportional to 219,408.70, 329,047.81 and 93,047.08

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Solution

The fourth proportional to 219,408.70, 329,047.81 and 93,047.08 is: 139,542.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,408.70 : 329,047.81 = 93,047.08 : x
  2. Step 2: Convert to fraction form
    219,408.70/329,047.81 = 93,047.08/x
  3. Step 3: Cross multiply
    219,408.70x = 329,047.81 × 93,047.08
  4. Step 4: Simplify right side
    219,408.70x = 30,616,937,900.89
  5. Step 5: Solve for x
    x = 30,616,937,900.89/219,408.70
  6. Step 6: Final answer
    x = 139,542.95

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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.