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Finding the Fourth Proportional to 77,856.30, 116,784.45 and 73,968.30

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Solution

The fourth proportional to 77,856.30, 116,784.45 and 73,968.30 is: 110,952.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,856.30 : 116,784.45 = 73,968.30 : x
  2. Step 2: Convert to fraction form
    77,856.30/116,784.45 = 73,968.30/x
  3. Step 3: Cross multiply
    77,856.30x = 116,784.45 × 73,968.30
  4. Step 4: Simplify right side
    77,856.30x = 8,638,347,232.94
  5. Step 5: Solve for x
    x = 8,638,347,232.94/77,856.30
  6. Step 6: Final answer
    x = 110,952.45

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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.