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Finding the Fourth Proportional to 97,751.32, 146,668.56 and 66,196.96

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Solution

The fourth proportional to 97,751.32, 146,668.56 and 66,196.96 is: 99,323.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,751.32 : 146,668.56 = 66,196.96 : x
  2. Step 2: Convert to fraction form
    97,751.32/146,668.56 = 66,196.96/x
  3. Step 3: Cross multiply
    97,751.32x = 146,668.56 × 66,196.96
  4. Step 4: Simplify right side
    97,751.32x = 9,709,012,799.58
  5. Step 5: Solve for x
    x = 9,709,012,799.58/97,751.32
  6. Step 6: Final answer
    x = 99,323.60

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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.