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Finding the Fourth Proportional to 141,030, 194,623.20 and 77,366.40

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Solution

The fourth proportional to 141,030, 194,623.20 and 77,366.40 is: 106,766.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,030 : 194,623.20 = 77,366.40 : x
  2. Step 2: Convert to fraction form
    141,030/194,623.20 = 77,366.40/x
  3. Step 3: Cross multiply
    141,030x = 194,623.20 × 77,366.40
  4. Step 4: Simplify right side
    141,030x = 15,057,296,340.48
  5. Step 5: Solve for x
    x = 15,057,296,340.48/141,030
  6. Step 6: Final answer
    x = 106,766.62

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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.