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Finding the Fourth Proportional to 141,086.40, 194,706.32 and 77,423.68

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Solution

The fourth proportional to 141,086.40, 194,706.32 and 77,423.68 is: 106,848.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,086.40 : 194,706.32 = 77,423.68 : x
  2. Step 2: Convert to fraction form
    141,086.40/194,706.32 = 77,423.68/x
  3. Step 3: Cross multiply
    141,086.40x = 194,706.32 × 77,423.68
  4. Step 4: Simplify right side
    141,086.40x = 15,074,879,813.66
  5. Step 5: Solve for x
    x = 15,074,879,813.66/141,086.40
  6. Step 6: Final answer
    x = 106,848.57

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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.