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Finding the Fourth Proportional to 149,783.48, 206,606.28 and 113,894.81

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Solution

The fourth proportional to 149,783.48, 206,606.28 and 113,894.81 is: 157,102.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,783.48 : 206,606.28 = 113,894.81 : x
  2. Step 2: Convert to fraction form
    149,783.48/206,606.28 = 113,894.81/x
  3. Step 3: Cross multiply
    149,783.48x = 206,606.28 × 113,894.81
  4. Step 4: Simplify right side
    149,783.48x = 23,531,381,402.90
  5. Step 5: Solve for x
    x = 23,531,381,402.90/149,783.48
  6. Step 6: Final answer
    x = 157,102.65

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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.