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Finding the Fourth Proportional to 177,659.70, 266,477.40 and 57,714.90

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Solution

The fourth proportional to 177,659.70, 266,477.40 and 57,714.90 is: 86,568.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,659.70 : 266,477.40 = 57,714.90 : x
  2. Step 2: Convert to fraction form
    177,659.70/266,477.40 = 57,714.90/x
  3. Step 3: Cross multiply
    177,659.70x = 266,477.40 × 57,714.90
  4. Step 4: Simplify right side
    177,659.70x = 15,379,716,493.26
  5. Step 5: Solve for x
    x = 15,379,716,493.26/177,659.70
  6. Step 6: Final answer
    x = 86,568.40

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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.