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Finding the Fourth Proportional to 194,758.62, 291,369.28 and 147,509.85

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Solution

The fourth proportional to 194,758.62, 291,369.28 and 147,509.85 is: 220,682.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,758.62 : 291,369.28 = 147,509.85 : x
  2. Step 2: Convert to fraction form
    194,758.62/291,369.28 = 147,509.85/x
  3. Step 3: Cross multiply
    194,758.62x = 291,369.28 × 147,509.85
  4. Step 4: Simplify right side
    194,758.62x = 42,979,838,787.41
  5. Step 5: Solve for x
    x = 42,979,838,787.41/194,758.62
  6. Step 6: Final answer
    x = 220,682.60

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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.