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Finding the Fourth Proportional to 97,850.96, 146,753 and 45,209.92

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Solution

The fourth proportional to 97,850.96, 146,753 and 45,209.92 is: 67,804.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,850.96 : 146,753 = 45,209.92 : x
  2. Step 2: Convert to fraction form
    97,850.96/146,753 = 45,209.92/x
  3. Step 3: Cross multiply
    97,850.96x = 146,753 × 45,209.92
  4. Step 4: Simplify right side
    97,850.96x = 6,634,691,389.76
  5. Step 5: Solve for x
    x = 6,634,691,389.76/97,850.96
  6. Step 6: Final answer
    x = 67,804.05

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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.