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Finding the Fourth Proportional to 161,496.38, 242,242.40 and 56,315

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Solution

The fourth proportional to 161,496.38, 242,242.40 and 56,315 is: 84,471.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,496.38 : 242,242.40 = 56,315 : x
  2. Step 2: Convert to fraction form
    161,496.38/242,242.40 = 56,315/x
  3. Step 3: Cross multiply
    161,496.38x = 242,242.40 × 56,315
  4. Step 4: Simplify right side
    161,496.38x = 13,641,880,756
  5. Step 5: Solve for x
    x = 13,641,880,756/161,496.38
  6. Step 6: Final answer
    x = 84,471.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.