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Finding the Fourth Proportional to 106,231.57, 146,566.47 and 60,283.60

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Solution

The fourth proportional to 106,231.57, 146,566.47 and 60,283.60 is: 83,172.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,231.57 : 146,566.47 = 60,283.60 : x
  2. Step 2: Convert to fraction form
    106,231.57/146,566.47 = 60,283.60/x
  3. Step 3: Cross multiply
    106,231.57x = 146,566.47 × 60,283.60
  4. Step 4: Simplify right side
    106,231.57x = 8,835,554,450.89
  5. Step 5: Solve for x
    x = 8,835,554,450.89/106,231.57
  6. Step 6: Final answer
    x = 83,172.59

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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.