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Finding the Fourth Proportional to 210,705.44, 316,224.22 and 92,458.40

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Solution

The fourth proportional to 210,705.44, 316,224.22 and 92,458.40 is: 138,760.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,705.44 : 316,224.22 = 92,458.40 : x
  2. Step 2: Convert to fraction form
    210,705.44/316,224.22 = 92,458.40/x
  3. Step 3: Cross multiply
    210,705.44x = 316,224.22 × 92,458.40
  4. Step 4: Simplify right side
    210,705.44x = 29,237,585,422.45
  5. Step 5: Solve for x
    x = 29,237,585,422.45/210,705.44
  6. Step 6: Final answer
    x = 138,760.47

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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.