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Finding the Fourth Proportional to 254,053.76, 381,130.05 and 76,551.98

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Solution

The fourth proportional to 254,053.76, 381,130.05 and 76,551.98 is: 114,842.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,053.76 : 381,130.05 = 76,551.98 : x
  2. Step 2: Convert to fraction form
    254,053.76/381,130.05 = 76,551.98/x
  3. Step 3: Cross multiply
    254,053.76x = 381,130.05 × 76,551.98
  4. Step 4: Simplify right side
    254,053.76x = 29,176,259,965.00
  5. Step 5: Solve for x
    x = 29,176,259,965.00/254,053.76
  6. Step 6: Final answer
    x = 114,842.86

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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.