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Finding the Fourth Proportional to 177,525, 266,333.67 and 52,866

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Solution

The fourth proportional to 177,525, 266,333.67 and 52,866 is: 79,312.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,525 : 266,333.67 = 52,866 : x
  2. Step 2: Convert to fraction form
    177,525/266,333.67 = 52,866/x
  3. Step 3: Cross multiply
    177,525x = 266,333.67 × 52,866
  4. Step 4: Simplify right side
    177,525x = 14,079,995,798.22
  5. Step 5: Solve for x
    x = 14,079,995,798.22/177,525
  6. Step 6: Final answer
    x = 79,312.75

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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.