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Finding the Fourth Proportional to 141,038.70, 194,638.45 and 77,378.34

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Solution

The fourth proportional to 141,038.70, 194,638.45 and 77,378.34 is: 106,784.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,038.70 : 194,638.45 = 77,378.34 : x
  2. Step 2: Convert to fraction form
    141,038.70/194,638.45 = 77,378.34/x
  3. Step 3: Cross multiply
    141,038.70x = 194,638.45 × 77,378.34
  4. Step 4: Simplify right side
    141,038.70x = 15,060,800,161.17
  5. Step 5: Solve for x
    x = 15,060,800,161.17/141,038.70
  6. Step 6: Final answer
    x = 106,784.88

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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.