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Finding the Fourth Proportional to 102,274.14, 141,089.75 and 72,076.08

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Solution

The fourth proportional to 102,274.14, 141,089.75 and 72,076.08 is: 99,430.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,274.14 : 141,089.75 = 72,076.08 : x
  2. Step 2: Convert to fraction form
    102,274.14/141,089.75 = 72,076.08/x
  3. Step 3: Cross multiply
    102,274.14x = 141,089.75 × 72,076.08
  4. Step 4: Simplify right side
    102,274.14x = 10,169,195,753.54
  5. Step 5: Solve for x
    x = 10,169,195,753.54/102,274.14
  6. Step 6: Final answer
    x = 99,430.76

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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.