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Finding the Fourth Proportional to 262,042.54, 392,783.53 and 135,555.42

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Solution

The fourth proportional to 262,042.54, 392,783.53 and 135,555.42 is: 203,188.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,042.54 : 392,783.53 = 135,555.42 : x
  2. Step 2: Convert to fraction form
    262,042.54/392,783.53 = 135,555.42/x
  3. Step 3: Cross multiply
    262,042.54x = 392,783.53 × 135,555.42
  4. Step 4: Simplify right side
    262,042.54x = 53,243,937,766.45
  5. Step 5: Solve for x
    x = 53,243,937,766.45/262,042.54
  6. Step 6: Final answer
    x = 203,188.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.