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Finding the Fourth Proportional to 254,672.16, 381,877.02 and 114,310.50

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Solution

The fourth proportional to 254,672.16, 381,877.02 and 114,310.50 is: 171,406.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,672.16 : 381,877.02 = 114,310.50 : x
  2. Step 2: Convert to fraction form
    254,672.16/381,877.02 = 114,310.50/x
  3. Step 3: Cross multiply
    254,672.16x = 381,877.02 × 114,310.50
  4. Step 4: Simplify right side
    254,672.16x = 43,652,553,094.71
  5. Step 5: Solve for x
    x = 43,652,553,094.71/254,672.16
  6. Step 6: Final answer
    x = 171,406.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.