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Finding the Fourth Proportional to 164,969.62, 227,658.70 and 89,518.12

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Solution

The fourth proportional to 164,969.62, 227,658.70 and 89,518.12 is: 123,535.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,969.62 : 227,658.70 = 89,518.12 : x
  2. Step 2: Convert to fraction form
    164,969.62/227,658.70 = 89,518.12/x
  3. Step 3: Cross multiply
    164,969.62x = 227,658.70 × 89,518.12
  4. Step 4: Simplify right side
    164,969.62x = 20,379,578,825.64
  5. Step 5: Solve for x
    x = 20,379,578,825.64/164,969.62
  6. Step 6: Final answer
    x = 123,535.34

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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.