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Finding the Fourth Proportional to 257,510.59, 355,365.38 and 142,797.31

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Solution

The fourth proportional to 257,510.59, 355,365.38 and 142,797.31 is: 197,060.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,510.59 : 355,365.38 = 142,797.31 : x
  2. Step 2: Convert to fraction form
    257,510.59/355,365.38 = 142,797.31/x
  3. Step 3: Cross multiply
    257,510.59x = 355,365.38 × 142,797.31
  4. Step 4: Simplify right side
    257,510.59x = 50,745,219,799.71
  5. Step 5: Solve for x
    x = 50,745,219,799.71/257,510.59
  6. Step 6: Final answer
    x = 197,060.71

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