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Finding the Fourth Proportional to 131,838.13, 181,931.37 and 77,382.89

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Solution

The fourth proportional to 131,838.13, 181,931.37 and 77,382.89 is: 106,785.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,838.13 : 181,931.37 = 77,382.89 : x
  2. Step 2: Convert to fraction form
    131,838.13/181,931.37 = 77,382.89/x
  3. Step 3: Cross multiply
    131,838.13x = 181,931.37 × 77,382.89
  4. Step 4: Simplify right side
    131,838.13x = 14,078,375,698.02
  5. Step 5: Solve for x
    x = 14,078,375,698.02/131,838.13
  6. Step 6: Final answer
    x = 106,785.31

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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.