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Finding the Fourth Proportional to 189,631.71, 261,742.05 and 117,971.01

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Solution

The fourth proportional to 189,631.71, 261,742.05 and 117,971.01 is: 162,831.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,631.71 : 261,742.05 = 117,971.01 : x
  2. Step 2: Convert to fraction form
    189,631.71/261,742.05 = 117,971.01/x
  3. Step 3: Cross multiply
    189,631.71x = 261,742.05 × 117,971.01
  4. Step 4: Simplify right side
    189,631.71x = 30,877,973,997.97
  5. Step 5: Solve for x
    x = 30,877,973,997.97/189,631.71
  6. Step 6: Final answer
    x = 162,831.28

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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.