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Finding the Fourth Proportional to 273,962.96, 378,075.08 and 160,867.28

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Solution

The fourth proportional to 273,962.96, 378,075.08 and 160,867.28 is: 222,000.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,962.96 : 378,075.08 = 160,867.28 : x
  2. Step 2: Convert to fraction form
    273,962.96/378,075.08 = 160,867.28/x
  3. Step 3: Cross multiply
    273,962.96x = 378,075.08 × 160,867.28
  4. Step 4: Simplify right side
    273,962.96x = 60,819,909,755.38
  5. Step 5: Solve for x
    x = 60,819,909,755.38/273,962.96
  6. Step 6: Final answer
    x = 222,000.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.