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Finding the Fourth Proportional to 194,899.71, 292,349.57 and 47,155.71

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Solution

The fourth proportional to 194,899.71, 292,349.57 and 47,155.71 is: 70,733.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,899.71 : 292,349.57 = 47,155.71 : x
  2. Step 2: Convert to fraction form
    194,899.71/292,349.57 = 47,155.71/x
  3. Step 3: Cross multiply
    194,899.71x = 292,349.57 × 47,155.71
  4. Step 4: Simplify right side
    194,899.71x = 13,785,949,844.02
  5. Step 5: Solve for x
    x = 13,785,949,844.02/194,899.71
  6. Step 6: Final answer
    x = 70,733.56

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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.