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Finding the Fourth Proportional to 177,401.70, 266,102.55 and 166,904.10

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Solution

The fourth proportional to 177,401.70, 266,102.55 and 166,904.10 is: 250,356.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,401.70 : 266,102.55 = 166,904.10 : x
  2. Step 2: Convert to fraction form
    177,401.70/266,102.55 = 166,904.10/x
  3. Step 3: Cross multiply
    177,401.70x = 266,102.55 × 166,904.10
  4. Step 4: Simplify right side
    177,401.70x = 44,413,606,615.46
  5. Step 5: Solve for x
    x = 44,413,606,615.46/177,401.70
  6. Step 6: Final answer
    x = 250,356.15

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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.