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Finding the Fourth Proportional to 142,463.64, 213,629.28 and 52,483.56

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Solution

The fourth proportional to 142,463.64, 213,629.28 and 52,483.56 is: 78,700.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,463.64 : 213,629.28 = 52,483.56 : x
  2. Step 2: Convert to fraction form
    142,463.64/213,629.28 = 52,483.56/x
  3. Step 3: Cross multiply
    142,463.64x = 213,629.28 × 52,483.56
  4. Step 4: Simplify right side
    142,463.64x = 11,212,025,134.64
  5. Step 5: Solve for x
    x = 11,212,025,134.64/142,463.64
  6. Step 6: Final answer
    x = 78,700.96

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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.