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Finding the Fourth Proportional to 141,105.60, 194,726.40 and 77,444.16

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Solution

The fourth proportional to 141,105.60, 194,726.40 and 77,444.16 is: 106,873.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,105.60 : 194,726.40 = 77,444.16 : x
  2. Step 2: Convert to fraction form
    141,105.60/194,726.40 = 77,444.16/x
  3. Step 3: Cross multiply
    141,105.60x = 194,726.40 × 77,444.16
  4. Step 4: Simplify right side
    141,105.60x = 15,080,422,477.82
  5. Step 5: Solve for x
    x = 15,080,422,477.82/141,105.60
  6. Step 6: Final answer
    x = 106,873.31

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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.