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Finding the Fourth Proportional to 114,298, 157,694.79 and 74,042.62

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Solution

The fourth proportional to 114,298, 157,694.79 and 74,042.62 is: 102,155.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,298 : 157,694.79 = 74,042.62 : x
  2. Step 2: Convert to fraction form
    114,298/157,694.79 = 74,042.62/x
  3. Step 3: Cross multiply
    114,298x = 157,694.79 × 74,042.62
  4. Step 4: Simplify right side
    114,298x = 11,676,135,411.95
  5. Step 5: Solve for x
    x = 11,676,135,411.95/114,298
  6. Step 6: Final answer
    x = 102,155.20

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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.