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Finding the Fourth Proportional to 101,922.71, 152,768.71 and 51,897.13

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Solution

The fourth proportional to 101,922.71, 152,768.71 and 51,897.13 is: 77,786.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,922.71 : 152,768.71 = 51,897.13 : x
  2. Step 2: Convert to fraction form
    101,922.71/152,768.71 = 51,897.13/x
  3. Step 3: Cross multiply
    101,922.71x = 152,768.71 × 51,897.13
  4. Step 4: Simplify right side
    101,922.71x = 7,928,256,993.83
  5. Step 5: Solve for x
    x = 7,928,256,993.83/101,922.71
  6. Step 6: Final answer
    x = 77,786.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.