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Finding the Fourth Proportional to 131,464, 181,420.32 and 84,441.92

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Solution

The fourth proportional to 131,464, 181,420.32 and 84,441.92 is: 116,529.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,464 : 181,420.32 = 84,441.92 : x
  2. Step 2: Convert to fraction form
    131,464/181,420.32 = 84,441.92/x
  3. Step 3: Cross multiply
    131,464x = 181,420.32 × 84,441.92
  4. Step 4: Simplify right side
    131,464x = 15,319,480,147.81
  5. Step 5: Solve for x
    x = 15,319,480,147.81/131,464
  6. Step 6: Final answer
    x = 116,529.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.