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Finding the Fourth Proportional to 257,136.96, 354,886.20 and 143,967

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Solution

The fourth proportional to 257,136.96, 354,886.20 and 143,967 is: 198,695.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,136.96 : 354,886.20 = 143,967 : x
  2. Step 2: Convert to fraction form
    257,136.96/354,886.20 = 143,967/x
  3. Step 3: Cross multiply
    257,136.96x = 354,886.20 × 143,967
  4. Step 4: Simplify right side
    257,136.96x = 51,091,901,555.40
  5. Step 5: Solve for x
    x = 51,091,901,555.40/257,136.96
  6. Step 6: Final answer
    x = 198,695.29

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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.