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Finding the Fourth Proportional to 161,459.28, 242,221.32 and 56,250

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Solution

The fourth proportional to 161,459.28, 242,221.32 and 56,250 is: 84,386.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,459.28 : 242,221.32 = 56,250 : x
  2. Step 2: Convert to fraction form
    161,459.28/242,221.32 = 56,250/x
  3. Step 3: Cross multiply
    161,459.28x = 242,221.32 × 56,250
  4. Step 4: Simplify right side
    161,459.28x = 13,624,949,250
  5. Step 5: Solve for x
    x = 13,624,949,250/161,459.28
  6. Step 6: Final answer
    x = 84,386.29

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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.