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Finding the Fourth Proportional to 176,108.70, 264,163.05 and 57,783.90

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Solution

The fourth proportional to 176,108.70, 264,163.05 and 57,783.90 is: 86,675.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,108.70 : 264,163.05 = 57,783.90 : x
  2. Step 2: Convert to fraction form
    176,108.70/264,163.05 = 57,783.90/x
  3. Step 3: Cross multiply
    176,108.70x = 264,163.05 × 57,783.90
  4. Step 4: Simplify right side
    176,108.70x = 15,264,371,264.90
  5. Step 5: Solve for x
    x = 15,264,371,264.90/176,108.70
  6. Step 6: Final answer
    x = 86,675.85

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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.