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Finding the Fourth Proportional to 254,539.76, 381,822.84 and 65,001.92

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Solution

The fourth proportional to 254,539.76, 381,822.84 and 65,001.92 is: 97,506.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,539.76 : 381,822.84 = 65,001.92 : x
  2. Step 2: Convert to fraction form
    254,539.76/381,822.84 = 65,001.92/x
  3. Step 3: Cross multiply
    254,539.76x = 381,822.84 × 65,001.92
  4. Step 4: Simplify right side
    254,539.76x = 24,819,217,699.85
  5. Step 5: Solve for x
    x = 24,819,217,699.85/254,539.76
  6. Step 6: Final answer
    x = 97,506.25

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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.