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Finding the Fourth Proportional to 467,191, 700,903.55 and 134,767

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Solution

The fourth proportional to 467,191, 700,903.55 and 134,767 is: 202,184.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,191 : 700,903.55 = 134,767 : x
  2. Step 2: Convert to fraction form
    467,191/700,903.55 = 134,767/x
  3. Step 3: Cross multiply
    467,191x = 700,903.55 × 134,767
  4. Step 4: Simplify right side
    467,191x = 94,458,668,049.02
  5. Step 5: Solve for x
    x = 94,458,668,049.02/467,191
  6. Step 6: Final answer
    x = 202,184.26

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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.