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Finding the Fourth Proportional to 171,690.16, 257,572.16 and 57,849.28

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Solution

The fourth proportional to 171,690.16, 257,572.16 and 57,849.28 is: 86,786.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,690.16 : 257,572.16 = 57,849.28 : x
  2. Step 2: Convert to fraction form
    171,690.16/257,572.16 = 57,849.28/x
  3. Step 3: Cross multiply
    171,690.16x = 257,572.16 × 57,849.28
  4. Step 4: Simplify right side
    171,690.16x = 14,900,364,004.04
  5. Step 5: Solve for x
    x = 14,900,364,004.04/171,690.16
  6. Step 6: Final answer
    x = 86,786.36

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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.