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Finding the Fourth Proportional to 138,056.91, 190,534.22 and 76,809.16

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Solution

The fourth proportional to 138,056.91, 190,534.22 and 76,809.16 is: 106,005.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,056.91 : 190,534.22 = 76,809.16 : x
  2. Step 2: Convert to fraction form
    138,056.91/190,534.22 = 76,809.16/x
  3. Step 3: Cross multiply
    138,056.91x = 190,534.22 × 76,809.16
  4. Step 4: Simplify right side
    138,056.91x = 14,634,773,389.46
  5. Step 5: Solve for x
    x = 14,634,773,389.46/138,056.91
  6. Step 6: Final answer
    x = 106,005.37

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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.