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Finding the Fourth Proportional to 97,496.76, 146,023.20 and 76,304.64

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Solution

The fourth proportional to 97,496.76, 146,023.20 and 76,304.64 is: 114,283.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,496.76 : 146,023.20 = 76,304.64 : x
  2. Step 2: Convert to fraction form
    97,496.76/146,023.20 = 76,304.64/x
  3. Step 3: Cross multiply
    97,496.76x = 146,023.20 × 76,304.64
  4. Step 4: Simplify right side
    97,496.76x = 11,142,247,707.65
  5. Step 5: Solve for x
    x = 11,142,247,707.65/97,496.76
  6. Step 6: Final answer
    x = 114,283.26

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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.