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Finding the Fourth Proportional to 171,502.83, 257,199.71 and 160,308.27

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Solution

The fourth proportional to 171,502.83, 257,199.71 and 160,308.27 is: 240,411.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,502.83 : 257,199.71 = 160,308.27 : x
  2. Step 2: Convert to fraction form
    171,502.83/257,199.71 = 160,308.27/x
  3. Step 3: Cross multiply
    171,502.83x = 257,199.71 × 160,308.27
  4. Step 4: Simplify right side
    171,502.83x = 41,231,239,753.06
  5. Step 5: Solve for x
    x = 41,231,239,753.06/171,502.83
  6. Step 6: Final answer
    x = 240,411.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.