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Finding the Fourth Proportional to 131,635.82, 181,599.72 and 77,160.38

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Solution

The fourth proportional to 131,635.82, 181,599.72 and 77,160.38 is: 106,447.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,635.82 : 181,599.72 = 77,160.38 : x
  2. Step 2: Convert to fraction form
    131,635.82/181,599.72 = 77,160.38/x
  3. Step 3: Cross multiply
    131,635.82x = 181,599.72 × 77,160.38
  4. Step 4: Simplify right side
    131,635.82x = 14,012,302,495.10
  5. Step 5: Solve for x
    x = 14,012,302,495.10/131,635.82
  6. Step 6: Final answer
    x = 106,447.49

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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.