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Finding the Fourth Proportional to 144,864.60, 217,005.30 and 100,541.40

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Solution

The fourth proportional to 144,864.60, 217,005.30 and 100,541.40 is: 150,609.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,864.60 : 217,005.30 = 100,541.40 : x
  2. Step 2: Convert to fraction form
    144,864.60/217,005.30 = 100,541.40/x
  3. Step 3: Cross multiply
    144,864.60x = 217,005.30 × 100,541.40
  4. Step 4: Simplify right side
    144,864.60x = 21,818,016,669.42
  5. Step 5: Solve for x
    x = 21,818,016,669.42/144,864.60
  6. Step 6: Final answer
    x = 150,609.72

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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.