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Finding the Fourth Proportional to 189,097.60, 283,649.32 and 55,991.32

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Solution

The fourth proportional to 189,097.60, 283,649.32 and 55,991.32 is: 83,987.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,097.60 : 283,649.32 = 55,991.32 : x
  2. Step 2: Convert to fraction form
    189,097.60/283,649.32 = 55,991.32/x
  3. Step 3: Cross multiply
    189,097.60x = 283,649.32 × 55,991.32
  4. Step 4: Simplify right side
    189,097.60x = 15,881,899,843.90
  5. Step 5: Solve for x
    x = 15,881,899,843.90/189,097.60
  6. Step 6: Final answer
    x = 83,987.84

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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.