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Finding the Fourth Proportional to 107,206.63, 160,787.37 and 69,141.88

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Solution

The fourth proportional to 107,206.63, 160,787.37 and 69,141.88 is: 103,698.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,206.63 : 160,787.37 = 69,141.88 : x
  2. Step 2: Convert to fraction form
    107,206.63/160,787.37 = 69,141.88/x
  3. Step 3: Cross multiply
    107,206.63x = 160,787.37 × 69,141.88
  4. Step 4: Simplify right side
    107,206.63x = 11,117,141,042.06
  5. Step 5: Solve for x
    x = 11,117,141,042.06/107,206.63
  6. Step 6: Final answer
    x = 103,698.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.