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Finding the Fourth Proportional to 178,263.52, 245,992.98 and 97,675

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Solution

The fourth proportional to 178,263.52, 245,992.98 and 97,675 is: 134,785.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,263.52 : 245,992.98 = 97,675 : x
  2. Step 2: Convert to fraction form
    178,263.52/245,992.98 = 97,675/x
  3. Step 3: Cross multiply
    178,263.52x = 245,992.98 × 97,675
  4. Step 4: Simplify right side
    178,263.52x = 24,027,364,321.50
  5. Step 5: Solve for x
    x = 24,027,364,321.50/178,263.52
  6. Step 6: Final answer
    x = 134,785.65

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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.