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Finding the Fourth Proportional to 110,448, 152,432.64 and 65,736

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Solution

The fourth proportional to 110,448, 152,432.64 and 65,736 is: 90,724.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,448 : 152,432.64 = 65,736 : x
  2. Step 2: Convert to fraction form
    110,448/152,432.64 = 65,736/x
  3. Step 3: Cross multiply
    110,448x = 152,432.64 × 65,736
  4. Step 4: Simplify right side
    110,448x = 10,020,312,023.04
  5. Step 5: Solve for x
    x = 10,020,312,023.04/110,448
  6. Step 6: Final answer
    x = 90,724.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.