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Finding the Fourth Proportional to 253,071.69, 349,222.29 and 145,624.38

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Solution

The fourth proportional to 253,071.69, 349,222.29 and 145,624.38 is: 200,952.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,071.69 : 349,222.29 = 145,624.38 : x
  2. Step 2: Convert to fraction form
    253,071.69/349,222.29 = 145,624.38/x
  3. Step 3: Cross multiply
    253,071.69x = 349,222.29 × 145,624.38
  4. Step 4: Simplify right side
    253,071.69x = 50,855,279,463.43
  5. Step 5: Solve for x
    x = 50,855,279,463.43/253,071.69
  6. Step 6: Final answer
    x = 200,952.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.