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Finding the Fourth Proportional to 194,035.54, 291,053.36 and 87,294.83

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Solution

The fourth proportional to 194,035.54, 291,053.36 and 87,294.83 is: 130,942.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,035.54 : 291,053.36 = 87,294.83 : x
  2. Step 2: Convert to fraction form
    194,035.54/291,053.36 = 87,294.83/x
  3. Step 3: Cross multiply
    194,035.54x = 291,053.36 × 87,294.83
  4. Step 4: Simplify right side
    194,035.54x = 25,407,452,877.15
  5. Step 5: Solve for x
    x = 25,407,452,877.15/194,035.54
  6. Step 6: Final answer
    x = 130,942.27

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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.