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Finding the Fourth Proportional to 106,602.05, 159,869.06 and 43,422.05

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Solution

The fourth proportional to 106,602.05, 159,869.06 and 43,422.05 is: 65,119.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,602.05 : 159,869.06 = 43,422.05 : x
  2. Step 2: Convert to fraction form
    106,602.05/159,869.06 = 43,422.05/x
  3. Step 3: Cross multiply
    106,602.05x = 159,869.06 × 43,422.05
  4. Step 4: Simplify right side
    106,602.05x = 6,941,842,662.17
  5. Step 5: Solve for x
    x = 6,941,842,662.17/106,602.05
  6. Step 6: Final answer
    x = 65,119.22

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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.