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Finding the Fourth Proportional to 141,088.54, 194,704.56 and 77,432.26

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Solution

The fourth proportional to 141,088.54, 194,704.56 and 77,432.26 is: 106,857.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,088.54 : 194,704.56 = 77,432.26 : x
  2. Step 2: Convert to fraction form
    141,088.54/194,704.56 = 77,432.26/x
  3. Step 3: Cross multiply
    141,088.54x = 194,704.56 × 77,432.26
  4. Step 4: Simplify right side
    141,088.54x = 15,076,414,113.11
  5. Step 5: Solve for x
    x = 15,076,414,113.11/141,088.54
  6. Step 6: Final answer
    x = 106,857.82

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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.