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Finding the Fourth Proportional to 264,075.72, 396,085.50 and 74,531.40

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Solution

The fourth proportional to 264,075.72, 396,085.50 and 74,531.40 is: 111,789.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,075.72 : 396,085.50 = 74,531.40 : x
  2. Step 2: Convert to fraction form
    264,075.72/396,085.50 = 74,531.40/x
  3. Step 3: Cross multiply
    264,075.72x = 396,085.50 × 74,531.40
  4. Step 4: Simplify right side
    264,075.72x = 29,520,806,834.70
  5. Step 5: Solve for x
    x = 29,520,806,834.70/264,075.72
  6. Step 6: Final answer
    x = 111,789.17

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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.