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Finding the Fourth Proportional to 242,959.96, 364,188.42 and 118,145.88

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Solution

The fourth proportional to 242,959.96, 364,188.42 and 118,145.88 is: 177,096.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,959.96 : 364,188.42 = 118,145.88 : x
  2. Step 2: Convert to fraction form
    242,959.96/364,188.42 = 118,145.88/x
  3. Step 3: Cross multiply
    242,959.96x = 364,188.42 × 118,145.88
  4. Step 4: Simplify right side
    242,959.96x = 43,027,361,366.71
  5. Step 5: Solve for x
    x = 43,027,361,366.71/242,959.96
  6. Step 6: Final answer
    x = 177,096.51

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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.