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Finding the Fourth Proportional to 138,771.09, 191,502.01 and 77,518.12

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Solution

The fourth proportional to 138,771.09, 191,502.01 and 77,518.12 is: 106,973.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,771.09 : 191,502.01 = 77,518.12 : x
  2. Step 2: Convert to fraction form
    138,771.09/191,502.01 = 77,518.12/x
  3. Step 3: Cross multiply
    138,771.09x = 191,502.01 × 77,518.12
  4. Step 4: Simplify right side
    138,771.09x = 14,844,875,791.42
  5. Step 5: Solve for x
    x = 14,844,875,791.42/138,771.09
  6. Step 6: Final answer
    x = 106,973.84

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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.