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Finding the Fourth Proportional to 151,907.94, 227,894.22 and 52,041.33

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Solution

The fourth proportional to 151,907.94, 227,894.22 and 52,041.33 is: 78,073.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,907.94 : 227,894.22 = 52,041.33 : x
  2. Step 2: Convert to fraction form
    151,907.94/227,894.22 = 52,041.33/x
  3. Step 3: Cross multiply
    151,907.94x = 227,894.22 × 52,041.33
  4. Step 4: Simplify right side
    151,907.94x = 11,859,918,308.11
  5. Step 5: Solve for x
    x = 11,859,918,308.11/151,907.94
  6. Step 6: Final answer
    x = 78,073.06

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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.