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Finding the Fourth Proportional to 144,846.30, 217,269.45 and 97,607.10

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Solution

The fourth proportional to 144,846.30, 217,269.45 and 97,607.10 is: 146,410.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,846.30 : 217,269.45 = 97,607.10 : x
  2. Step 2: Convert to fraction form
    144,846.30/217,269.45 = 97,607.10/x
  3. Step 3: Cross multiply
    144,846.30x = 217,269.45 × 97,607.10
  4. Step 4: Simplify right side
    144,846.30x = 21,207,040,933.10
  5. Step 5: Solve for x
    x = 21,207,040,933.10/144,846.30
  6. Step 6: Final answer
    x = 146,410.65

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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.