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Finding the Fourth Proportional to 302,677.14, 417,683.01 and 181,885.03

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Solution

The fourth proportional to 302,677.14, 417,683.01 and 181,885.03 is: 250,994.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,677.14 : 417,683.01 = 181,885.03 : x
  2. Step 2: Convert to fraction form
    302,677.14/417,683.01 = 181,885.03/x
  3. Step 3: Cross multiply
    302,677.14x = 417,683.01 × 181,885.03
  4. Step 4: Simplify right side
    302,677.14x = 75,970,286,442.20
  5. Step 5: Solve for x
    x = 75,970,286,442.20/302,677.14
  6. Step 6: Final answer
    x = 250,994.46

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Why These Related Problems?

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