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Finding the Fourth Proportional to 233,006.76, 349,224.14 and 120,622.97

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Solution

The fourth proportional to 233,006.76, 349,224.14 and 120,622.97 is: 180,786.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,006.76 : 349,224.14 = 120,622.97 : x
  2. Step 2: Convert to fraction form
    233,006.76/349,224.14 = 120,622.97/x
  3. Step 3: Cross multiply
    233,006.76x = 349,224.14 × 120,622.97
  4. Step 4: Simplify right side
    233,006.76x = 42,124,454,137.11
  5. Step 5: Solve for x
    x = 42,124,454,137.11/233,006.76
  6. Step 6: Final answer
    x = 180,786.40

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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.