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Finding the Fourth Proportional to 144,898.10, 217,193.72 and 48,743.76

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Solution

The fourth proportional to 144,898.10, 217,193.72 and 48,743.76 is: 73,064.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,898.10 : 217,193.72 = 48,743.76 : x
  2. Step 2: Convert to fraction form
    144,898.10/217,193.72 = 48,743.76/x
  3. Step 3: Cross multiply
    144,898.10x = 217,193.72 × 48,743.76
  4. Step 4: Simplify right side
    144,898.10x = 10,586,838,561.19
  5. Step 5: Solve for x
    x = 10,586,838,561.19/144,898.10
  6. Step 6: Final answer
    x = 73,064.03

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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.