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Finding the Fourth Proportional to 210,661.94, 316,158.96 and 92,414.90

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Solution

The fourth proportional to 210,661.94, 316,158.96 and 92,414.90 is: 138,695.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,661.94 : 316,158.96 = 92,414.90 : x
  2. Step 2: Convert to fraction form
    210,661.94/316,158.96 = 92,414.90/x
  3. Step 3: Cross multiply
    210,661.94x = 316,158.96 × 92,414.90
  4. Step 4: Simplify right side
    210,661.94x = 29,217,798,672.50
  5. Step 5: Solve for x
    x = 29,217,798,672.50/210,661.94
  6. Step 6: Final answer
    x = 138,695.19

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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.