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Finding the Fourth Proportional to 106,103.67, 159,477.06 and 70,202.58

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Solution

The fourth proportional to 106,103.67, 159,477.06 and 70,202.58 is: 105,516.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,103.67 : 159,477.06 = 70,202.58 : x
  2. Step 2: Convert to fraction form
    106,103.67/159,477.06 = 70,202.58/x
  3. Step 3: Cross multiply
    106,103.67x = 159,477.06 × 70,202.58
  4. Step 4: Simplify right side
    106,103.67x = 11,195,700,313.11
  5. Step 5: Solve for x
    x = 11,195,700,313.11/106,103.67
  6. Step 6: Final answer
    x = 105,516.61

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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.