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Finding the Fourth Proportional to 177,620.16, 266,426.47 and 57,676.98

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Solution

The fourth proportional to 177,620.16, 266,426.47 and 57,676.98 is: 86,514.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,620.16 : 266,426.47 = 57,676.98 : x
  2. Step 2: Convert to fraction form
    177,620.16/266,426.47 = 57,676.98/x
  3. Step 3: Cross multiply
    177,620.16x = 266,426.47 × 57,676.98
  4. Step 4: Simplify right side
    177,620.16x = 15,366,674,181.66
  5. Step 5: Solve for x
    x = 15,366,674,181.66/177,620.16
  6. Step 6: Final answer
    x = 86,514.25

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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.