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Finding the Fourth Proportional to 119,411.02, 164,787.20 and 65,694.88

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Solution

The fourth proportional to 119,411.02, 164,787.20 and 65,694.88 is: 90,658.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,411.02 : 164,787.20 = 65,694.88 : x
  2. Step 2: Convert to fraction form
    119,411.02/164,787.20 = 65,694.88/x
  3. Step 3: Cross multiply
    119,411.02x = 164,787.20 × 65,694.88
  4. Step 4: Simplify right side
    119,411.02x = 10,825,674,898.07
  5. Step 5: Solve for x
    x = 10,825,674,898.07/119,411.02
  6. Step 6: Final answer
    x = 90,658.93

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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.