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Finding the Fourth Proportional to 194,292.47, 291,064.79 and 119,193.32

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Solution

The fourth proportional to 194,292.47, 291,064.79 and 119,193.32 is: 178,560.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,292.47 : 291,064.79 = 119,193.32 : x
  2. Step 2: Convert to fraction form
    194,292.47/291,064.79 = 119,193.32/x
  3. Step 3: Cross multiply
    194,292.47x = 291,064.79 × 119,193.32
  4. Step 4: Simplify right side
    194,292.47x = 34,692,979,680.85
  5. Step 5: Solve for x
    x = 34,692,979,680.85/194,292.47
  6. Step 6: Final answer
    x = 178,560.60

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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.