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Finding the Fourth Proportional to 113,795, 157,036.99 and 63,494

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Solution

The fourth proportional to 113,795, 157,036.99 and 63,494 is: 87,621.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,795 : 157,036.99 = 63,494 : x
  2. Step 2: Convert to fraction form
    113,795/157,036.99 = 63,494/x
  3. Step 3: Cross multiply
    113,795x = 157,036.99 × 63,494
  4. Step 4: Simplify right side
    113,795x = 9,970,906,643.06
  5. Step 5: Solve for x
    x = 9,970,906,643.06/113,795
  6. Step 6: Final answer
    x = 87,621.66

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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.