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Finding the Fourth Proportional to 111,566, 153,777.48 and 77,623.76

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Solution

The fourth proportional to 111,566, 153,777.48 and 77,623.76 is: 106,993.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,566 : 153,777.48 = 77,623.76 : x
  2. Step 2: Convert to fraction form
    111,566/153,777.48 = 77,623.76/x
  3. Step 3: Cross multiply
    111,566x = 153,777.48 × 77,623.76
  4. Step 4: Simplify right side
    111,566x = 11,936,786,200.92
  5. Step 5: Solve for x
    x = 11,936,786,200.92/111,566
  6. Step 6: Final answer
    x = 106,993.05

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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.