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Finding the Fourth Proportional to 114,153.72, 157,513.74 and 71,682.18

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Solution

The fourth proportional to 114,153.72, 157,513.74 and 71,682.18 is: 98,909.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,153.72 : 157,513.74 = 71,682.18 : x
  2. Step 2: Convert to fraction form
    114,153.72/157,513.74 = 71,682.18/x
  3. Step 3: Cross multiply
    114,153.72x = 157,513.74 × 71,682.18
  4. Step 4: Simplify right side
    114,153.72x = 11,290,928,263.15
  5. Step 5: Solve for x
    x = 11,290,928,263.15/114,153.72
  6. Step 6: Final answer
    x = 98,909.86

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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.