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Finding the Fourth Proportional to 106,994.51, 159,789.18 and 85,966.50

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Solution

The fourth proportional to 106,994.51, 159,789.18 and 85,966.50 is: 128,385.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,994.51 : 159,789.18 = 85,966.50 : x
  2. Step 2: Convert to fraction form
    106,994.51/159,789.18 = 85,966.50/x
  3. Step 3: Cross multiply
    106,994.51x = 159,789.18 × 85,966.50
  4. Step 4: Simplify right side
    106,994.51x = 13,736,516,542.47
  5. Step 5: Solve for x
    x = 13,736,516,542.47/106,994.51
  6. Step 6: Final answer
    x = 128,385.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.