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Finding the Fourth Proportional to 257,792.22, 386,682.48 and 151,848.27

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Solution

The fourth proportional to 257,792.22, 386,682.48 and 151,848.27 is: 227,768.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,792.22 : 386,682.48 = 151,848.27 : x
  2. Step 2: Convert to fraction form
    257,792.22/386,682.48 = 151,848.27/x
  3. Step 3: Cross multiply
    257,792.22x = 386,682.48 × 151,848.27
  4. Step 4: Simplify right side
    257,792.22x = 58,717,065,627.31
  5. Step 5: Solve for x
    x = 58,717,065,627.31/257,792.22
  6. Step 6: Final answer
    x = 227,768.96

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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.