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Finding the Fourth Proportional to 178,363.08, 246,139.74 and 97,794

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Solution

The fourth proportional to 178,363.08, 246,139.74 and 97,794 is: 134,955.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,363.08 : 246,139.74 = 97,794 : x
  2. Step 2: Convert to fraction form
    178,363.08/246,139.74 = 97,794/x
  3. Step 3: Cross multiply
    178,363.08x = 246,139.74 × 97,794
  4. Step 4: Simplify right side
    178,363.08x = 24,070,989,733.56
  5. Step 5: Solve for x
    x = 24,070,989,733.56/178,363.08
  6. Step 6: Final answer
    x = 134,955.00

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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.