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Finding the Fourth Proportional to 138,213.36, 190,732.64 and 77,784.08

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Solution

The fourth proportional to 138,213.36, 190,732.64 and 77,784.08 is: 107,341.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,213.36 : 190,732.64 = 77,784.08 : x
  2. Step 2: Convert to fraction form
    138,213.36/190,732.64 = 77,784.08/x
  3. Step 3: Cross multiply
    138,213.36x = 190,732.64 × 77,784.08
  4. Step 4: Simplify right side
    138,213.36x = 14,835,962,928.37
  5. Step 5: Solve for x
    x = 14,835,962,928.37/138,213.36
  6. Step 6: Final answer
    x = 107,341.02

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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.