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Finding the Fourth Proportional to 178,117.28, 267,193.76 and 65,827

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Solution

The fourth proportional to 178,117.28, 267,193.76 and 65,827 is: 98,747.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,117.28 : 267,193.76 = 65,827 : x
  2. Step 2: Convert to fraction form
    178,117.28/267,193.76 = 65,827/x
  3. Step 3: Cross multiply
    178,117.28x = 267,193.76 × 65,827
  4. Step 4: Simplify right side
    178,117.28x = 17,588,563,639.52
  5. Step 5: Solve for x
    x = 17,588,563,639.52/178,117.28
  6. Step 6: Final answer
    x = 98,747.09

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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.