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Finding the Fourth Proportional to 242,957.96, 364,185.42 and 118,143.88

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Solution

The fourth proportional to 242,957.96, 364,185.42 and 118,143.88 is: 177,093.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,957.96 : 364,185.42 = 118,143.88 : x
  2. Step 2: Convert to fraction form
    242,957.96/364,185.42 = 118,143.88/x
  3. Step 3: Cross multiply
    242,957.96x = 364,185.42 × 118,143.88
  4. Step 4: Simplify right side
    242,957.96x = 43,026,278,558.23
  5. Step 5: Solve for x
    x = 43,026,278,558.23/242,957.96
  6. Step 6: Final answer
    x = 177,093.51

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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.