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Finding the Fourth Proportional to 138,878.30, 191,651.10 and 75,214.64

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Solution

The fourth proportional to 138,878.30, 191,651.10 and 75,214.64 is: 103,795.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,878.30 : 191,651.10 = 75,214.64 : x
  2. Step 2: Convert to fraction form
    138,878.30/191,651.10 = 75,214.64/x
  3. Step 3: Cross multiply
    138,878.30x = 191,651.10 × 75,214.64
  4. Step 4: Simplify right side
    138,878.30x = 14,414,968,492.10
  5. Step 5: Solve for x
    x = 14,414,968,492.10/138,878.30
  6. Step 6: Final answer
    x = 103,795.69

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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.