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Finding the Fourth Proportional to 177,401.20, 266,101.80 and 114,415.60

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Solution

The fourth proportional to 177,401.20, 266,101.80 and 114,415.60 is: 171,623.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,401.20 : 266,101.80 = 114,415.60 : x
  2. Step 2: Convert to fraction form
    177,401.20/266,101.80 = 114,415.60/x
  3. Step 3: Cross multiply
    177,401.20x = 266,101.80 × 114,415.60
  4. Step 4: Simplify right side
    177,401.20x = 30,446,197,108.08
  5. Step 5: Solve for x
    x = 30,446,197,108.08/177,401.20
  6. Step 6: Final answer
    x = 171,623.40

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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.