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Finding the Fourth Proportional to 171,159.30, 256,252.95 and 161,849.70

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Solution

The fourth proportional to 171,159.30, 256,252.95 and 161,849.70 is: 242,314.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,159.30 : 256,252.95 = 161,849.70 : x
  2. Step 2: Convert to fraction form
    171,159.30/256,252.95 = 161,849.70/x
  3. Step 3: Cross multiply
    171,159.30x = 256,252.95 × 161,849.70
  4. Step 4: Simplify right side
    171,159.30x = 41,474,463,081.62
  5. Step 5: Solve for x
    x = 41,474,463,081.62/171,159.30
  6. Step 6: Final answer
    x = 242,314.98

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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.