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Finding the Fourth Proportional to 257,047.68, 354,709.12 and 143,869.44

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Solution

The fourth proportional to 257,047.68, 354,709.12 and 143,869.44 is: 198,530.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,047.68 : 354,709.12 = 143,869.44 : x
  2. Step 2: Convert to fraction form
    257,047.68/354,709.12 = 143,869.44/x
  3. Step 3: Cross multiply
    257,047.68x = 354,709.12 × 143,869.44
  4. Step 4: Simplify right side
    257,047.68x = 51,031,802,457.29
  5. Step 5: Solve for x
    x = 51,031,802,457.29/257,047.68
  6. Step 6: Final answer
    x = 198,530.49

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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.