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Finding the Fourth Proportional to 97,723.40, 146,585.10 and 97,723.40

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Solution

The fourth proportional to 97,723.40, 146,585.10 and 97,723.40 is: 146,585.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,723.40 : 146,585.10 = 97,723.40 : x
  2. Step 2: Convert to fraction form
    97,723.40/146,585.10 = 97,723.40/x
  3. Step 3: Cross multiply
    97,723.40x = 146,585.10 × 97,723.40
  4. Step 4: Simplify right side
    97,723.40x = 14,324,794,361.34
  5. Step 5: Solve for x
    x = 14,324,794,361.34/97,723.40
  6. Step 6: Final answer
    x = 146,585.10

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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.