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Finding the Fourth Proportional to 302,878.60, 454,301.46 and 92,500.12

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Solution

The fourth proportional to 302,878.60, 454,301.46 and 92,500.12 is: 138,745.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,878.60 : 454,301.46 = 92,500.12 : x
  2. Step 2: Convert to fraction form
    302,878.60/454,301.46 = 92,500.12/x
  3. Step 3: Cross multiply
    302,878.60x = 454,301.46 × 92,500.12
  4. Step 4: Simplify right side
    302,878.60x = 42,022,939,566.18
  5. Step 5: Solve for x
    x = 42,022,939,566.18/302,878.60
  6. Step 6: Final answer
    x = 138,745.16

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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.