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Finding the Fourth Proportional to 259,142.20, 357,601.76 and 142,851.92

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Solution

The fourth proportional to 259,142.20, 357,601.76 and 142,851.92 is: 197,127.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,142.20 : 357,601.76 = 142,851.92 : x
  2. Step 2: Convert to fraction form
    259,142.20/357,601.76 = 142,851.92/x
  3. Step 3: Cross multiply
    259,142.20x = 357,601.76 × 142,851.92
  4. Step 4: Simplify right side
    259,142.20x = 51,084,098,011.38
  5. Step 5: Solve for x
    x = 51,084,098,011.38/259,142.20
  6. Step 6: Final answer
    x = 197,127.67

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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.