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Finding the Fourth Proportional to 144,917.40, 217,376.10 and 92,429.40

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Solution

The fourth proportional to 144,917.40, 217,376.10 and 92,429.40 is: 138,644.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,917.40 : 217,376.10 = 92,429.40 : x
  2. Step 2: Convert to fraction form
    144,917.40/217,376.10 = 92,429.40/x
  3. Step 3: Cross multiply
    144,917.40x = 217,376.10 × 92,429.40
  4. Step 4: Simplify right side
    144,917.40x = 20,091,942,497.34
  5. Step 5: Solve for x
    x = 20,091,942,497.34/144,917.40
  6. Step 6: Final answer
    x = 138,644.10

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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.