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Finding the Fourth Proportional to 97,697.40, 146,546.10 and 97,006.20

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Solution

The fourth proportional to 97,697.40, 146,546.10 and 97,006.20 is: 145,509.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,697.40 : 146,546.10 = 97,006.20 : x
  2. Step 2: Convert to fraction form
    97,697.40/146,546.10 = 97,006.20/x
  3. Step 3: Cross multiply
    97,697.40x = 146,546.10 × 97,006.20
  4. Step 4: Simplify right side
    97,697.40x = 14,215,880,285.82
  5. Step 5: Solve for x
    x = 14,215,880,285.82/97,697.40
  6. Step 6: Final answer
    x = 145,509.30

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1.5x scale

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.