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Finding the Fourth Proportional to 189,001.94, 283,404.48 and 89,135.32

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Solution

The fourth proportional to 189,001.94, 283,404.48 and 89,135.32 is: 133,656.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,001.94 : 283,404.48 = 89,135.32 : x
  2. Step 2: Convert to fraction form
    189,001.94/283,404.48 = 89,135.32/x
  3. Step 3: Cross multiply
    189,001.94x = 283,404.48 × 89,135.32
  4. Step 4: Simplify right side
    189,001.94x = 25,261,350,325.19
  5. Step 5: Solve for x
    x = 25,261,350,325.19/189,001.94
  6. Step 6: Final answer
    x = 133,656.56

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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.