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Finding the Fourth Proportional to 113,876.88, 157,022.28 and 73,537.68

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Solution

The fourth proportional to 113,876.88, 157,022.28 and 73,537.68 is: 101,399.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,876.88 : 157,022.28 = 73,537.68 : x
  2. Step 2: Convert to fraction form
    113,876.88/157,022.28 = 73,537.68/x
  3. Step 3: Cross multiply
    113,876.88x = 157,022.28 × 73,537.68
  4. Step 4: Simplify right side
    113,876.88x = 11,547,054,179.51
  5. Step 5: Solve for x
    x = 11,547,054,179.51/113,876.88
  6. Step 6: Final answer
    x = 101,399.46

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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.