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Finding the Fourth Proportional to 243,134.98, 364,833.42 and 118,475.98

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Solution

The fourth proportional to 243,134.98, 364,833.42 and 118,475.98 is: 177,777.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,134.98 : 364,833.42 = 118,475.98 : x
  2. Step 2: Convert to fraction form
    243,134.98/364,833.42 = 118,475.98/x
  3. Step 3: Cross multiply
    243,134.98x = 364,833.42 × 118,475.98
  4. Step 4: Simplify right side
    243,134.98x = 43,223,996,971.25
  5. Step 5: Solve for x
    x = 43,223,996,971.25/243,134.98
  6. Step 6: Final answer
    x = 177,777.78

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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.