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Finding the Fourth Proportional to 262,142.46, 361,753.14 and 147,421.08

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Solution

The fourth proportional to 262,142.46, 361,753.14 and 147,421.08 is: 203,439.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,142.46 : 361,753.14 = 147,421.08 : x
  2. Step 2: Convert to fraction form
    262,142.46/361,753.14 = 147,421.08/x
  3. Step 3: Cross multiply
    262,142.46x = 361,753.14 × 147,421.08
  4. Step 4: Simplify right side
    262,142.46x = 53,330,038,592.19
  5. Step 5: Solve for x
    x = 53,330,038,592.19/262,142.46
  6. Step 6: Final answer
    x = 203,439.15

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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.