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Finding the Fourth Proportional to 178,020.82, 245,671.08 and 97,446.61

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Solution

The fourth proportional to 178,020.82, 245,671.08 and 97,446.61 is: 134,477.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,020.82 : 245,671.08 = 97,446.61 : x
  2. Step 2: Convert to fraction form
    178,020.82/245,671.08 = 97,446.61/x
  3. Step 3: Cross multiply
    178,020.82x = 245,671.08 × 97,446.61
  4. Step 4: Simplify right side
    178,020.82x = 23,939,813,862.70
  5. Step 5: Solve for x
    x = 23,939,813,862.70/178,020.82
  6. Step 6: Final answer
    x = 134,477.61

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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.