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Finding the Fourth Proportional to 162,311.50, 223,988.66 and 89,719.17

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Solution

The fourth proportional to 162,311.50, 223,988.66 and 89,719.17 is: 123,811.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,311.50 : 223,988.66 = 89,719.17 : x
  2. Step 2: Convert to fraction form
    162,311.50/223,988.66 = 89,719.17/x
  3. Step 3: Cross multiply
    162,311.50x = 223,988.66 × 89,719.17
  4. Step 4: Simplify right side
    162,311.50x = 20,096,075,460.17
  5. Step 5: Solve for x
    x = 20,096,075,460.17/162,311.50
  6. Step 6: Final answer
    x = 123,811.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.