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Finding the Fourth Proportional to 178,209.83, 245,929.56 and 97,640.41

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Solution

The fourth proportional to 178,209.83, 245,929.56 and 97,640.41 is: 134,743.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,209.83 : 245,929.56 = 97,640.41 : x
  2. Step 2: Convert to fraction form
    178,209.83/245,929.56 = 97,640.41/x
  3. Step 3: Cross multiply
    178,209.83x = 245,929.56 × 97,640.41
  4. Step 4: Simplify right side
    178,209.83x = 24,012,663,069.52
  5. Step 5: Solve for x
    x = 24,012,663,069.52/178,209.83
  6. Step 6: Final answer
    x = 134,743.76

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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.