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Finding the Fourth Proportional to 252,577.06, 378,927.96 and 75,083.32

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Solution

The fourth proportional to 252,577.06, 378,927.96 and 75,083.32 is: 112,643.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,577.06 : 378,927.96 = 75,083.32 : x
  2. Step 2: Convert to fraction form
    252,577.06/378,927.96 = 75,083.32/x
  3. Step 3: Cross multiply
    252,577.06x = 378,927.96 × 75,083.32
  4. Step 4: Simplify right side
    252,577.06x = 28,451,169,277.63
  5. Step 5: Solve for x
    x = 28,451,169,277.63/252,577.06
  6. Step 6: Final answer
    x = 112,643.52

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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.