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Finding the Fourth Proportional to 254,673.16, 381,878.52 and 114,311.50

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Solution

The fourth proportional to 254,673.16, 381,878.52 and 114,311.50 is: 171,408.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,673.16 : 381,878.52 = 114,311.50 : x
  2. Step 2: Convert to fraction form
    254,673.16/381,878.52 = 114,311.50/x
  3. Step 3: Cross multiply
    254,673.16x = 381,878.52 × 114,311.50
  4. Step 4: Simplify right side
    254,673.16x = 43,653,106,438.98
  5. Step 5: Solve for x
    x = 43,653,106,438.98/254,673.16
  6. Step 6: Final answer
    x = 171,408.35

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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.