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Finding the Fourth Proportional to 194,053, 290,921.82 and 87,358.60

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Solution

The fourth proportional to 194,053, 290,921.82 and 87,358.60 is: 130,966.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,053 : 290,921.82 = 87,358.60 : x
  2. Step 2: Convert to fraction form
    194,053/290,921.82 = 87,358.60/x
  3. Step 3: Cross multiply
    194,053x = 290,921.82 × 87,358.60
  4. Step 4: Simplify right side
    194,053x = 25,414,522,904.65
  5. Step 5: Solve for x
    x = 25,414,522,904.65/194,053
  6. Step 6: Final answer
    x = 130,966.92

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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.