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Finding the Fourth Proportional to 100,182.53, 150,035.27 and 57,973.63

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Solution

The fourth proportional to 100,182.53, 150,035.27 and 57,973.63 is: 86,822.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,182.53 : 150,035.27 = 57,973.63 : x
  2. Step 2: Convert to fraction form
    100,182.53/150,035.27 = 57,973.63/x
  3. Step 3: Cross multiply
    100,182.53x = 150,035.27 × 57,973.63
  4. Step 4: Simplify right side
    100,182.53x = 8,698,088,564.97
  5. Step 5: Solve for x
    x = 8,698,088,564.97/100,182.53
  6. Step 6: Final answer
    x = 86,822.41

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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.