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Finding the Fourth Proportional to 161,523.28, 242,317.32 and 56,314

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Solution

The fourth proportional to 161,523.28, 242,317.32 and 56,314 is: 84,482.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,523.28 : 242,317.32 = 56,314 : x
  2. Step 2: Convert to fraction form
    161,523.28/242,317.32 = 56,314/x
  3. Step 3: Cross multiply
    161,523.28x = 242,317.32 × 56,314
  4. Step 4: Simplify right side
    161,523.28x = 13,645,857,558.48
  5. Step 5: Solve for x
    x = 13,645,857,558.48/161,523.28
  6. Step 6: Final answer
    x = 84,482.30

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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.