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Finding the Fourth Proportional to 119,411.40, 164,787.72 and 65,695.26

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Solution

The fourth proportional to 119,411.40, 164,787.72 and 65,695.26 is: 90,659.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,411.40 : 164,787.72 = 65,695.26 : x
  2. Step 2: Convert to fraction form
    119,411.40/164,787.72 = 65,695.26/x
  3. Step 3: Cross multiply
    119,411.40x = 164,787.72 × 65,695.26
  4. Step 4: Simplify right side
    119,411.40x = 10,825,770,957.79
  5. Step 5: Solve for x
    x = 10,825,770,957.79/119,411.40
  6. Step 6: Final answer
    x = 90,659.45

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Why These Related Problems?

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