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Finding the Fourth Proportional to 106,656.95, 159,979.66 and 54,065.07

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Solution

The fourth proportional to 106,656.95, 159,979.66 and 54,065.07 is: 81,094.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,656.95 : 159,979.66 = 54,065.07 : x
  2. Step 2: Convert to fraction form
    106,656.95/159,979.66 = 54,065.07/x
  3. Step 3: Cross multiply
    106,656.95x = 159,979.66 × 54,065.07
  4. Step 4: Simplify right side
    106,656.95x = 8,649,311,381.31
  5. Step 5: Solve for x
    x = 8,649,311,381.31/106,656.95
  6. Step 6: Final answer
    x = 81,094.68

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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.