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Finding the Fourth Proportional to 257,411.42, 355,213.24 and 149,998.94

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Solution

The fourth proportional to 257,411.42, 355,213.24 and 149,998.94 is: 206,990.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,411.42 : 355,213.24 = 149,998.94 : x
  2. Step 2: Convert to fraction form
    257,411.42/355,213.24 = 149,998.94/x
  3. Step 3: Cross multiply
    257,411.42x = 355,213.24 × 149,998.94
  4. Step 4: Simplify right side
    257,411.42x = 53,281,607,322.90
  5. Step 5: Solve for x
    x = 53,281,607,322.90/257,411.42
  6. Step 6: Final answer
    x = 206,990.07

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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.