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Finding the Fourth Proportional to 106,606.50, 147,121.71 and 61,299.18

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Solution

The fourth proportional to 106,606.50, 147,121.71 and 61,299.18 is: 84,595.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,606.50 : 147,121.71 = 61,299.18 : x
  2. Step 2: Convert to fraction form
    106,606.50/147,121.71 = 61,299.18/x
  3. Step 3: Cross multiply
    106,606.50x = 147,121.71 × 61,299.18
  4. Step 4: Simplify right side
    106,606.50x = 9,018,440,183.20
  5. Step 5: Solve for x
    x = 9,018,440,183.20/106,606.50
  6. Step 6: Final answer
    x = 84,595.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.