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Finding the Fourth Proportional to 138,461, 191,076.98 and 81,134.16

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Solution

The fourth proportional to 138,461, 191,076.98 and 81,134.16 is: 111,965.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,461 : 191,076.98 = 81,134.16 : x
  2. Step 2: Convert to fraction form
    138,461/191,076.98 = 81,134.16/x
  3. Step 3: Cross multiply
    138,461x = 191,076.98 × 81,134.16
  4. Step 4: Simplify right side
    138,461x = 15,502,870,267.64
  5. Step 5: Solve for x
    x = 15,502,870,267.64/138,461
  6. Step 6: Final answer
    x = 111,965.61

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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.