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Finding the Fourth Proportional to 140,838.39, 194,251.02 and 97,817.93

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Solution

The fourth proportional to 140,838.39, 194,251.02 and 97,817.93 is: 134,915.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,838.39 : 194,251.02 = 97,817.93 : x
  2. Step 2: Convert to fraction form
    140,838.39/194,251.02 = 97,817.93/x
  3. Step 3: Cross multiply
    140,838.39x = 194,251.02 × 97,817.93
  4. Step 4: Simplify right side
    140,838.39x = 19,001,232,676.79
  5. Step 5: Solve for x
    x = 19,001,232,676.79/140,838.39
  6. Step 6: Final answer
    x = 134,915.15

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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.