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Finding the Fourth Proportional to 177,208.32, 264,682.86 and 160,315.47

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Solution

The fourth proportional to 177,208.32, 264,682.86 and 160,315.47 is: 239,451.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,208.32 : 264,682.86 = 160,315.47 : x
  2. Step 2: Convert to fraction form
    177,208.32/264,682.86 = 160,315.47/x
  3. Step 3: Cross multiply
    177,208.32x = 264,682.86 × 160,315.47
  4. Step 4: Simplify right side
    177,208.32x = 42,432,757,101.84
  5. Step 5: Solve for x
    x = 42,432,757,101.84/177,208.32
  6. Step 6: Final answer
    x = 239,451.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.