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Finding the Fourth Proportional to 162,282.98, 223,938.78 and 89,685

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Solution

The fourth proportional to 162,282.98, 223,938.78 and 89,685 is: 123,758.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,282.98 : 223,938.78 = 89,685 : x
  2. Step 2: Convert to fraction form
    162,282.98/223,938.78 = 89,685/x
  3. Step 3: Cross multiply
    162,282.98x = 223,938.78 × 89,685
  4. Step 4: Simplify right side
    162,282.98x = 20,083,949,484.30
  5. Step 5: Solve for x
    x = 20,083,949,484.30/162,282.98
  6. Step 6: Final answer
    x = 123,758.82

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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.