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Finding the Fourth Proportional to 242,584.56, 334,651.92 and 157,670.64

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Solution

The fourth proportional to 242,584.56, 334,651.92 and 157,670.64 is: 217,510.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,584.56 : 334,651.92 = 157,670.64 : x
  2. Step 2: Convert to fraction form
    242,584.56/334,651.92 = 157,670.64/x
  3. Step 3: Cross multiply
    242,584.56x = 334,651.92 × 157,670.64
  4. Step 4: Simplify right side
    242,584.56x = 52,764,782,403.63
  5. Step 5: Solve for x
    x = 52,764,782,403.63/242,584.56
  6. Step 6: Final answer
    x = 217,510.89

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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.