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Finding the Fourth Proportional to 189,357.66, 283,987.77 and 56,206.38

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Solution

The fourth proportional to 189,357.66, 283,987.77 and 56,206.38 is: 84,295.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,357.66 : 283,987.77 = 56,206.38 : x
  2. Step 2: Convert to fraction form
    189,357.66/283,987.77 = 56,206.38/x
  3. Step 3: Cross multiply
    189,357.66x = 283,987.77 × 56,206.38
  4. Step 4: Simplify right side
    189,357.66x = 15,961,924,515.97
  5. Step 5: Solve for x
    x = 15,961,924,515.97/189,357.66
  6. Step 6: Final answer
    x = 84,295.11

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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.