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Finding the Fourth Proportional to 176,210.86, 264,343.84 and 57,855.28

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Solution

The fourth proportional to 176,210.86, 264,343.84 and 57,855.28 is: 86,791.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,210.86 : 264,343.84 = 57,855.28 : x
  2. Step 2: Convert to fraction form
    176,210.86/264,343.84 = 57,855.28/x
  3. Step 3: Cross multiply
    176,210.86x = 264,343.84 × 57,855.28
  4. Step 4: Simplify right side
    176,210.86x = 15,293,686,879.48
  5. Step 5: Solve for x
    x = 15,293,686,879.48/176,210.86
  6. Step 6: Final answer
    x = 86,791.97

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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.