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Finding the Fourth Proportional to 254,591.02, 381,886.48 and 65,051.75

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Solution

The fourth proportional to 254,591.02, 381,886.48 and 65,051.75 is: 97,577.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,591.02 : 381,886.48 = 65,051.75 : x
  2. Step 2: Convert to fraction form
    254,591.02/381,886.48 = 65,051.75/x
  3. Step 3: Cross multiply
    254,591.02x = 381,886.48 × 65,051.75
  4. Step 4: Simplify right side
    254,591.02x = 24,842,383,825.34
  5. Step 5: Solve for x
    x = 24,842,383,825.34/254,591.02
  6. Step 6: Final answer
    x = 97,577.61

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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.