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Finding the Fourth Proportional to 176,208.86, 264,340.83 and 57,853.28

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Solution

The fourth proportional to 176,208.86, 264,340.83 and 57,853.28 is: 86,788.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,208.86 : 264,340.83 = 57,853.28 : x
  2. Step 2: Convert to fraction form
    176,208.86/264,340.83 = 57,853.28/x
  3. Step 3: Cross multiply
    176,208.86x = 264,340.83 × 57,853.28
  4. Step 4: Simplify right side
    176,208.86x = 15,292,984,053.42
  5. Step 5: Solve for x
    x = 15,292,984,053.42/176,208.86
  6. Step 6: Final answer
    x = 86,788.96

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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.