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Finding the Fourth Proportional to 119,116.57, 164,381.19 and 65,405.06

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Solution

The fourth proportional to 119,116.57, 164,381.19 and 65,405.06 is: 90,259.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,116.57 : 164,381.19 = 65,405.06 : x
  2. Step 2: Convert to fraction form
    119,116.57/164,381.19 = 65,405.06/x
  3. Step 3: Cross multiply
    119,116.57x = 164,381.19 × 65,405.06
  4. Step 4: Simplify right side
    119,116.57x = 10,751,361,594.82
  5. Step 5: Solve for x
    x = 10,751,361,594.82/119,116.57
  6. Step 6: Final answer
    x = 90,259.16

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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.