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Finding the Fourth Proportional to 105,392.40, 145,517.58 and 65,161.32

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Solution

The fourth proportional to 105,392.40, 145,517.58 and 65,161.32 is: 89,969.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,392.40 : 145,517.58 = 65,161.32 : x
  2. Step 2: Convert to fraction form
    105,392.40/145,517.58 = 65,161.32/x
  3. Step 3: Cross multiply
    105,392.40x = 145,517.58 × 65,161.32
  4. Step 4: Simplify right side
    105,392.40x = 9,482,117,596.01
  5. Step 5: Solve for x
    x = 9,482,117,596.01/105,392.40
  6. Step 6: Final answer
    x = 89,969.65

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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.