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Finding the Fourth Proportional to 97,894.86, 146,811.24 and 60,398.70

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Solution

The fourth proportional to 97,894.86, 146,811.24 and 60,398.70 is: 90,578.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,894.86 : 146,811.24 = 60,398.70 : x
  2. Step 2: Convert to fraction form
    97,894.86/146,811.24 = 60,398.70/x
  3. Step 3: Cross multiply
    97,894.86x = 146,811.24 × 60,398.70
  4. Step 4: Simplify right side
    97,894.86x = 8,867,208,041.39
  5. Step 5: Solve for x
    x = 8,867,208,041.39/97,894.86
  6. Step 6: Final answer
    x = 90,578.89

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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.