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Finding the Fourth Proportional to 150,482.48, 225,564.64 and 55,651.76

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Solution

The fourth proportional to 150,482.48, 225,564.64 and 55,651.76 is: 83,418.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,482.48 : 225,564.64 = 55,651.76 : x
  2. Step 2: Convert to fraction form
    150,482.48/225,564.64 = 55,651.76/x
  3. Step 3: Cross multiply
    150,482.48x = 225,564.64 × 55,651.76
  4. Step 4: Simplify right side
    150,482.48x = 12,553,069,209.77
  5. Step 5: Solve for x
    x = 12,553,069,209.77/150,482.48
  6. Step 6: Final answer
    x = 83,418.81

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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.