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Finding the Fourth Proportional to 142,977.69, 214,467.98 and 43,138.71

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Solution

The fourth proportional to 142,977.69, 214,467.98 and 43,138.71 is: 64,708.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,977.69 : 214,467.98 = 43,138.71 : x
  2. Step 2: Convert to fraction form
    142,977.69/214,467.98 = 43,138.71/x
  3. Step 3: Cross multiply
    142,977.69x = 214,467.98 × 43,138.71
  4. Step 4: Simplify right side
    142,977.69x = 9,251,871,777.81
  5. Step 5: Solve for x
    x = 9,251,871,777.81/142,977.69
  6. Step 6: Final answer
    x = 64,708.50

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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.