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Finding the Fourth Proportional to 178,570.16, 267,855.22 and 139,156.76

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Solution

The fourth proportional to 178,570.16, 267,855.22 and 139,156.76 is: 208,735.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,570.16 : 267,855.22 = 139,156.76 : x
  2. Step 2: Convert to fraction form
    178,570.16/267,855.22 = 139,156.76/x
  3. Step 3: Cross multiply
    178,570.16x = 267,855.22 × 139,156.76
  4. Step 4: Simplify right side
    178,570.16x = 37,273,864,564.29
  5. Step 5: Solve for x
    x = 37,273,864,564.29/178,570.16
  6. Step 6: Final answer
    x = 208,735.12

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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.