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Finding the Fourth Proportional to 177,468.30, 266,202.45 and 164,637.90

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Solution

The fourth proportional to 177,468.30, 266,202.45 and 164,637.90 is: 246,956.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,468.30 : 266,202.45 = 164,637.90 : x
  2. Step 2: Convert to fraction form
    177,468.30/266,202.45 = 164,637.90/x
  3. Step 3: Cross multiply
    177,468.30x = 266,202.45 × 164,637.90
  4. Step 4: Simplify right side
    177,468.30x = 43,827,012,342.86
  5. Step 5: Solve for x
    x = 43,827,012,342.86/177,468.30
  6. Step 6: Final answer
    x = 246,956.85

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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.