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Finding the Fourth Proportional to 178,210.83, 245,930.94 and 97,641.41

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Solution

The fourth proportional to 178,210.83, 245,930.94 and 97,641.41 is: 134,745.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,210.83 : 245,930.94 = 97,641.41 : x
  2. Step 2: Convert to fraction form
    178,210.83/245,930.94 = 97,641.41/x
  3. Step 3: Cross multiply
    178,210.83x = 245,930.94 × 97,641.41
  4. Step 4: Simplify right side
    178,210.83x = 24,013,043,744.23
  5. Step 5: Solve for x
    x = 24,013,043,744.23/178,210.83
  6. Step 6: Final answer
    x = 134,745.14

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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.