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Finding the Fourth Proportional to 257,552.10, 355,433.39 and 142,823.02

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Solution

The fourth proportional to 257,552.10, 355,433.39 and 142,823.02 is: 197,102.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,552.10 : 355,433.39 = 142,823.02 : x
  2. Step 2: Convert to fraction form
    257,552.10/355,433.39 = 142,823.02/x
  3. Step 3: Cross multiply
    257,552.10x = 355,433.39 × 142,823.02
  4. Step 4: Simplify right side
    257,552.10x = 50,764,070,168.64
  5. Step 5: Solve for x
    x = 50,764,070,168.64/257,552.10
  6. Step 6: Final answer
    x = 197,102.14

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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.