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Finding the Fourth Proportional to 106,236.64, 146,586.54 and 65,960.20

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Solution

The fourth proportional to 106,236.64, 146,586.54 and 65,960.20 is: 91,012.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,236.64 : 146,586.54 = 65,960.20 : x
  2. Step 2: Convert to fraction form
    106,236.64/146,586.54 = 65,960.20/x
  3. Step 3: Cross multiply
    106,236.64x = 146,586.54 × 65,960.20
  4. Step 4: Simplify right side
    106,236.64x = 9,668,877,495.71
  5. Step 5: Solve for x
    x = 9,668,877,495.71/106,236.64
  6. Step 6: Final answer
    x = 91,012.64

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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.