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Finding the Fourth Proportional to 144,849.84, 217,303.20 and 70,021.68

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Solution

The fourth proportional to 144,849.84, 217,303.20 and 70,021.68 is: 105,046.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,849.84 : 217,303.20 = 70,021.68 : x
  2. Step 2: Convert to fraction form
    144,849.84/217,303.20 = 70,021.68/x
  3. Step 3: Cross multiply
    144,849.84x = 217,303.20 × 70,021.68
  4. Step 4: Simplify right side
    144,849.84x = 15,215,935,133.38
  5. Step 5: Solve for x
    x = 15,215,935,133.38/144,849.84
  6. Step 6: Final answer
    x = 105,046.27

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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.