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Finding the Fourth Proportional to 302,106.96, 416,874.24 and 181,253.52

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Solution

The fourth proportional to 302,106.96, 416,874.24 and 181,253.52 is: 250,109.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,106.96 : 416,874.24 = 181,253.52 : x
  2. Step 2: Convert to fraction form
    302,106.96/416,874.24 = 181,253.52/x
  3. Step 3: Cross multiply
    302,106.96x = 416,874.24 × 181,253.52
  4. Step 4: Simplify right side
    302,106.96x = 75,559,923,397.32
  5. Step 5: Solve for x
    x = 75,559,923,397.32/302,106.96
  6. Step 6: Final answer
    x = 250,109.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.