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Finding the Fourth Proportional to 470,014.59, 705,051.87 and 133,081.80

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Solution

The fourth proportional to 470,014.59, 705,051.87 and 133,081.80 is: 199,631.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,014.59 : 705,051.87 = 133,081.80 : x
  2. Step 2: Convert to fraction form
    470,014.59/705,051.87 = 133,081.80/x
  3. Step 3: Cross multiply
    470,014.59x = 705,051.87 × 133,081.80
  4. Step 4: Simplify right side
    470,014.59x = 93,829,571,952.97
  5. Step 5: Solve for x
    x = 93,829,571,952.97/470,014.59
  6. Step 6: Final answer
    x = 199,631.19

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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.