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Finding the Fourth Proportional to 119,512.71, 164,921.27 and 65,787.23

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Solution

The fourth proportional to 119,512.71, 164,921.27 and 65,787.23 is: 90,782.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,512.71 : 164,921.27 = 65,787.23 : x
  2. Step 2: Convert to fraction form
    119,512.71/164,921.27 = 65,787.23/x
  3. Step 3: Cross multiply
    119,512.71x = 164,921.27 × 65,787.23
  4. Step 4: Simplify right side
    119,512.71x = 10,849,713,521.38
  5. Step 5: Solve for x
    x = 10,849,713,521.38/119,512.71
  6. Step 6: Final answer
    x = 90,782.93

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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.