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Finding the Fourth Proportional to 470,082.43, 705,033.46 and 133,041.70

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Solution

The fourth proportional to 470,082.43, 705,033.46 and 133,041.70 is: 199,537.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,082.43 : 705,033.46 = 133,041.70 : x
  2. Step 2: Convert to fraction form
    470,082.43/705,033.46 = 133,041.70/x
  3. Step 3: Cross multiply
    470,082.43x = 705,033.46 × 133,041.70
  4. Step 4: Simplify right side
    470,082.43x = 93,798,850,075.28
  5. Step 5: Solve for x
    x = 93,798,850,075.28/470,082.43
  6. Step 6: Final answer
    x = 199,537.03

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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.