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Finding the Fourth Proportional to 145,362.22, 218,371.38 and 86,236.81

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Solution

The fourth proportional to 145,362.22, 218,371.38 and 86,236.81 is: 129,549.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,362.22 : 218,371.38 = 86,236.81 : x
  2. Step 2: Convert to fraction form
    145,362.22/218,371.38 = 86,236.81/x
  3. Step 3: Cross multiply
    145,362.22x = 218,371.38 × 86,236.81
  4. Step 4: Simplify right side
    145,362.22x = 18,831,651,206.50
  5. Step 5: Solve for x
    x = 18,831,651,206.50/145,362.22
  6. Step 6: Final answer
    x = 129,549.83

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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.