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Finding the Fourth Proportional to 177,533.40, 266,073.30 and 72,233.40

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Solution

The fourth proportional to 177,533.40, 266,073.30 and 72,233.40 is: 108,257.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,533.40 : 266,073.30 = 72,233.40 : x
  2. Step 2: Convert to fraction form
    177,533.40/266,073.30 = 72,233.40/x
  3. Step 3: Cross multiply
    177,533.40x = 266,073.30 × 72,233.40
  4. Step 4: Simplify right side
    177,533.40x = 19,219,379,108.22
  5. Step 5: Solve for x
    x = 19,219,379,108.22/177,533.40
  6. Step 6: Final answer
    x = 108,257.82

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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.