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Finding the Fourth Proportional to 340,116.40, 510,183 and 162,642.16

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Solution

The fourth proportional to 340,116.40, 510,183 and 162,642.16 is: 243,967.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,116.40 : 510,183 = 162,642.16 : x
  2. Step 2: Convert to fraction form
    340,116.40/510,183 = 162,642.16/x
  3. Step 3: Cross multiply
    340,116.40x = 510,183 × 162,642.16
  4. Step 4: Simplify right side
    340,116.40x = 82,977,265,115.28
  5. Step 5: Solve for x
    x = 82,977,265,115.28/340,116.40
  6. Step 6: Final answer
    x = 243,967.26

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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.