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Finding the Fourth Proportional to 243,188.50, 364,784.37 and 76,976.50

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Solution

The fourth proportional to 243,188.50, 364,784.37 and 76,976.50 is: 115,465.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,188.50 : 364,784.37 = 76,976.50 : x
  2. Step 2: Convert to fraction form
    243,188.50/364,784.37 = 76,976.50/x
  3. Step 3: Cross multiply
    243,188.50x = 364,784.37 × 76,976.50
  4. Step 4: Simplify right side
    243,188.50x = 28,079,824,057.31
  5. Step 5: Solve for x
    x = 28,079,824,057.31/243,188.50
  6. Step 6: Final answer
    x = 115,465.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.