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Finding the Fourth Proportional to 224,717.10, 337,075.65 and 202,166.70

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Solution

The fourth proportional to 224,717.10, 337,075.65 and 202,166.70 is: 303,250.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,717.10 : 337,075.65 = 202,166.70 : x
  2. Step 2: Convert to fraction form
    224,717.10/337,075.65 = 202,166.70/x
  3. Step 3: Cross multiply
    224,717.10x = 337,075.65 × 202,166.70
  4. Step 4: Simplify right side
    224,717.10x = 68,145,471,810.86
  5. Step 5: Solve for x
    x = 68,145,471,810.86/224,717.10
  6. Step 6: Final answer
    x = 303,250.05

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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.