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Finding the Fourth Proportional to 470,133.80, 705,186.88 and 133,173.80

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Solution

The fourth proportional to 470,133.80, 705,186.88 and 133,173.80 is: 199,756.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,133.80 : 705,186.88 = 133,173.80 : x
  2. Step 2: Convert to fraction form
    470,133.80/705,186.88 = 133,173.80/x
  3. Step 3: Cross multiply
    470,133.80x = 705,186.88 × 133,173.80
  4. Step 4: Simplify right side
    470,133.80x = 93,912,416,519.74
  5. Step 5: Solve for x
    x = 93,912,416,519.74/470,133.80
  6. Step 6: Final answer
    x = 199,756.79

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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.