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Finding the Fourth Proportional to 197,166.50, 272,102.57 and 114,397.44

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Solution

The fourth proportional to 197,166.50, 272,102.57 and 114,397.44 is: 157,875.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,166.50 : 272,102.57 = 114,397.44 : x
  2. Step 2: Convert to fraction form
    197,166.50/272,102.57 = 114,397.44/x
  3. Step 3: Cross multiply
    197,166.50x = 272,102.57 × 114,397.44
  4. Step 4: Simplify right side
    197,166.50x = 31,127,836,853.43
  5. Step 5: Solve for x
    x = 31,127,836,853.43/197,166.50
  6. Step 6: Final answer
    x = 157,875.89

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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.