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Finding the Fourth Proportional to 177,758.22, 266,611.11 and 65,412.34

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Solution

The fourth proportional to 177,758.22, 266,611.11 and 65,412.34 is: 98,108.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,758.22 : 266,611.11 = 65,412.34 : x
  2. Step 2: Convert to fraction form
    177,758.22/266,611.11 = 65,412.34/x
  3. Step 3: Cross multiply
    177,758.22x = 266,611.11 × 65,412.34
  4. Step 4: Simplify right side
    177,758.22x = 17,439,656,575.10
  5. Step 5: Solve for x
    x = 17,439,656,575.10/177,758.22
  6. Step 6: Final answer
    x = 98,108.86

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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.