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Finding the Fourth Proportional to 183,977.78, 276,073.05 and 77,353.34

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Solution

The fourth proportional to 183,977.78, 276,073.05 and 77,353.34 is: 116,074.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,977.78 : 276,073.05 = 77,353.34 : x
  2. Step 2: Convert to fraction form
    183,977.78/276,073.05 = 77,353.34/x
  3. Step 3: Cross multiply
    183,977.78x = 276,073.05 × 77,353.34
  4. Step 4: Simplify right side
    183,977.78x = 21,355,172,501.49
  5. Step 5: Solve for x
    x = 21,355,172,501.49/183,977.78
  6. Step 6: Final answer
    x = 116,074.74

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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.