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Finding the Fourth Proportional to 113,934.34, 157,007.36 and 82,043.02

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Solution

The fourth proportional to 113,934.34, 157,007.36 and 82,043.02 is: 113,059.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,934.34 : 157,007.36 = 82,043.02 : x
  2. Step 2: Convert to fraction form
    113,934.34/157,007.36 = 82,043.02/x
  3. Step 3: Cross multiply
    113,934.34x = 157,007.36 × 82,043.02
  4. Step 4: Simplify right side
    113,934.34x = 12,881,356,781.38
  5. Step 5: Solve for x
    x = 12,881,356,781.38/113,934.34
  6. Step 6: Final answer
    x = 113,059.48

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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.