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Finding the Fourth Proportional to 194,648.94, 291,882.69 and 101,129.58

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Solution

The fourth proportional to 194,648.94, 291,882.69 and 101,129.58 is: 151,647.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,648.94 : 291,882.69 = 101,129.58 : x
  2. Step 2: Convert to fraction form
    194,648.94/291,882.69 = 101,129.58/x
  3. Step 3: Cross multiply
    194,648.94x = 291,882.69 × 101,129.58
  4. Step 4: Simplify right side
    194,648.94x = 29,517,973,848.97
  5. Step 5: Solve for x
    x = 29,517,973,848.97/194,648.94
  6. Step 6: Final answer
    x = 151,647.24

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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.