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Finding the Fourth Proportional to 291,853.72, 437,605.08 and 114,148.90

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Solution

The fourth proportional to 291,853.72, 437,605.08 and 114,148.90 is: 171,154.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,853.72 : 437,605.08 = 114,148.90 : x
  2. Step 2: Convert to fraction form
    291,853.72/437,605.08 = 114,148.90/x
  3. Step 3: Cross multiply
    291,853.72x = 437,605.08 × 114,148.90
  4. Step 4: Simplify right side
    291,853.72x = 49,952,138,516.41
  5. Step 5: Solve for x
    x = 49,952,138,516.41/291,853.72
  6. Step 6: Final answer
    x = 171,154.71

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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.