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Finding the Fourth Proportional to 254,684.16, 381,895.02 and 114,322.50

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Solution

The fourth proportional to 254,684.16, 381,895.02 and 114,322.50 is: 171,424.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,684.16 : 381,895.02 = 114,322.50 : x
  2. Step 2: Convert to fraction form
    254,684.16/381,895.02 = 114,322.50/x
  3. Step 3: Cross multiply
    254,684.16x = 381,895.02 × 114,322.50
  4. Step 4: Simplify right side
    254,684.16x = 43,659,193,423.95
  5. Step 5: Solve for x
    x = 43,659,193,423.95/254,684.16
  6. Step 6: Final answer
    x = 171,424.85

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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.