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Finding the Fourth Proportional to 138,080, 190,566.08 and 76,832.32

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Solution

The fourth proportional to 138,080, 190,566.08 and 76,832.32 is: 106,037.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,080 : 190,566.08 = 76,832.32 : x
  2. Step 2: Convert to fraction form
    138,080/190,566.08 = 76,832.32/x
  3. Step 3: Cross multiply
    138,080x = 190,566.08 × 76,832.32
  4. Step 4: Simplify right side
    138,080x = 14,641,634,039.71
  5. Step 5: Solve for x
    x = 14,641,634,039.71/138,080
  6. Step 6: Final answer
    x = 106,037.33

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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.