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Finding the Fourth Proportional to 257,560.56, 355,433.67 and 142,856.76

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Solution

The fourth proportional to 257,560.56, 355,433.67 and 142,856.76 is: 197,142.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,560.56 : 355,433.67 = 142,856.76 : x
  2. Step 2: Convert to fraction form
    257,560.56/355,433.67 = 142,856.76/x
  3. Step 3: Cross multiply
    257,560.56x = 355,433.67 × 142,856.76
  4. Step 4: Simplify right side
    257,560.56x = 50,776,103,823.99
  5. Step 5: Solve for x
    x = 50,776,103,823.99/257,560.56
  6. Step 6: Final answer
    x = 197,142.39

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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.