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Finding the Fourth Proportional to 142,715.40, 214,022.70 and 49,199.40

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Solution

The fourth proportional to 142,715.40, 214,022.70 and 49,199.40 is: 73,781.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,715.40 : 214,022.70 = 49,199.40 : x
  2. Step 2: Convert to fraction form
    142,715.40/214,022.70 = 49,199.40/x
  3. Step 3: Cross multiply
    142,715.40x = 214,022.70 × 49,199.40
  4. Step 4: Simplify right side
    142,715.40x = 10,529,788,426.38
  5. Step 5: Solve for x
    x = 10,529,788,426.38/142,715.40
  6. Step 6: Final answer
    x = 73,781.73

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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.