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Finding the Fourth Proportional to 144,777.70, 217,169.70 and 101,907.94

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Solution

The fourth proportional to 144,777.70, 217,169.70 and 101,907.94 is: 152,864.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,777.70 : 217,169.70 = 101,907.94 : x
  2. Step 2: Convert to fraction form
    144,777.70/217,169.70 = 101,907.94/x
  3. Step 3: Cross multiply
    144,777.70x = 217,169.70 × 101,907.94
  4. Step 4: Simplify right side
    144,777.70x = 22,131,316,757.42
  5. Step 5: Solve for x
    x = 22,131,316,757.42/144,777.70
  6. Step 6: Final answer
    x = 152,864.13

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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.