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Finding the Fourth Proportional to 178,915.70, 267,715.42 and 107,881.94

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Solution

The fourth proportional to 178,915.70, 267,715.42 and 107,881.94 is: 161,426.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,915.70 : 267,715.42 = 107,881.94 : x
  2. Step 2: Convert to fraction form
    178,915.70/267,715.42 = 107,881.94/x
  3. Step 3: Cross multiply
    178,915.70x = 267,715.42 × 107,881.94
  4. Step 4: Simplify right side
    178,915.70x = 28,881,658,877.51
  5. Step 5: Solve for x
    x = 28,881,658,877.51/178,915.70
  6. Step 6: Final answer
    x = 161,426.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.