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Finding the Fourth Proportional to 98,874.92, 148,316.04 and 50,830.68

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Solution

The fourth proportional to 98,874.92, 148,316.04 and 50,830.68 is: 76,247.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,874.92 : 148,316.04 = 50,830.68 : x
  2. Step 2: Convert to fraction form
    98,874.92/148,316.04 = 50,830.68/x
  3. Step 3: Cross multiply
    98,874.92x = 148,316.04 × 50,830.68
  4. Step 4: Simplify right side
    98,874.92x = 7,539,005,168.11
  5. Step 5: Solve for x
    x = 7,539,005,168.11/98,874.92
  6. Step 6: Final answer
    x = 76,247.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.