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Finding the Fourth Proportional to 254,674.16, 381,880 and 114,312.48

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Solution

The fourth proportional to 254,674.16, 381,880 and 114,312.48 is: 171,409.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,674.16 : 381,880 = 114,312.48 : x
  2. Step 2: Convert to fraction form
    254,674.16/381,880 = 114,312.48/x
  3. Step 3: Cross multiply
    254,674.16x = 381,880 × 114,312.48
  4. Step 4: Simplify right side
    254,674.16x = 43,653,649,862.40
  5. Step 5: Solve for x
    x = 43,653,649,862.40/254,674.16
  6. Step 6: Final answer
    x = 171,409.81

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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.