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Finding the Fourth Proportional to 128,649.92, 192,973.14 and 57,553.76

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Solution

The fourth proportional to 128,649.92, 192,973.14 and 57,553.76 is: 86,329.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,649.92 : 192,973.14 = 57,553.76 : x
  2. Step 2: Convert to fraction form
    128,649.92/192,973.14 = 57,553.76/x
  3. Step 3: Cross multiply
    128,649.92x = 192,973.14 × 57,553.76
  4. Step 4: Simplify right side
    128,649.92x = 11,106,329,786.01
  5. Step 5: Solve for x
    x = 11,106,329,786.01/128,649.92
  6. Step 6: Final answer
    x = 86,329.86

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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.