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Finding the Fourth Proportional to 141,214.50, 194,893.29 and 81,598.50

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Solution

The fourth proportional to 141,214.50, 194,893.29 and 81,598.50 is: 112,615.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,214.50 : 194,893.29 = 81,598.50 : x
  2. Step 2: Convert to fraction form
    141,214.50/194,893.29 = 81,598.50/x
  3. Step 3: Cross multiply
    141,214.50x = 194,893.29 × 81,598.50
  4. Step 4: Simplify right side
    141,214.50x = 15,903,000,124.07
  5. Step 5: Solve for x
    x = 15,903,000,124.07/141,214.50
  6. Step 6: Final answer
    x = 112,615.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.