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Finding the Fourth Proportional to 150,513.50, 225,775.11 and 55,767.50

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Solution

The fourth proportional to 150,513.50, 225,775.11 and 55,767.50 is: 83,653.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,513.50 : 225,775.11 = 55,767.50 : x
  2. Step 2: Convert to fraction form
    150,513.50/225,775.11 = 55,767.50/x
  3. Step 3: Cross multiply
    150,513.50x = 225,775.11 × 55,767.50
  4. Step 4: Simplify right side
    150,513.50x = 12,590,913,373.83
  5. Step 5: Solve for x
    x = 12,590,913,373.83/150,513.50
  6. Step 6: Final answer
    x = 83,653.05

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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.