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Finding the Fourth Proportional to 97,960.56, 147,113.12 and 96,558.16

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Solution

The fourth proportional to 97,960.56, 147,113.12 and 96,558.16 is: 145,007.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,960.56 : 147,113.12 = 96,558.16 : x
  2. Step 2: Convert to fraction form
    97,960.56/147,113.12 = 96,558.16/x
  3. Step 3: Cross multiply
    97,960.56x = 147,113.12 × 96,558.16
  4. Step 4: Simplify right side
    97,960.56x = 14,204,972,179.06
  5. Step 5: Solve for x
    x = 14,204,972,179.06/97,960.56
  6. Step 6: Final answer
    x = 145,007.05

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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.