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Finding the Fourth Proportional to 97,806.30, 146,709.45 and 91,196.70

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Solution

The fourth proportional to 97,806.30, 146,709.45 and 91,196.70 is: 136,795.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,806.30 : 146,709.45 = 91,196.70 : x
  2. Step 2: Convert to fraction form
    97,806.30/146,709.45 = 91,196.70/x
  3. Step 3: Cross multiply
    97,806.30x = 146,709.45 × 91,196.70
  4. Step 4: Simplify right side
    97,806.30x = 13,379,417,698.82
  5. Step 5: Solve for x
    x = 13,379,417,698.82/97,806.30
  6. Step 6: Final answer
    x = 136,795.05

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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.