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Finding the Fourth Proportional to 194,036.89, 291,055.41 and 87,296.20

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Solution

The fourth proportional to 194,036.89, 291,055.41 and 87,296.20 is: 130,944.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,036.89 : 291,055.41 = 87,296.20 : x
  2. Step 2: Convert to fraction form
    194,036.89/291,055.41 = 87,296.20/x
  3. Step 3: Cross multiply
    194,036.89x = 291,055.41 × 87,296.20
  4. Step 4: Simplify right side
    194,036.89x = 25,408,030,154.53
  5. Step 5: Solve for x
    x = 25,408,030,154.53/194,036.89
  6. Step 6: Final answer
    x = 130,944.33

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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.