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Finding the Fourth Proportional to 254,407.83, 381,599.43 and 96,623.97

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Solution

The fourth proportional to 254,407.83, 381,599.43 and 96,623.97 is: 144,931.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,407.83 : 381,599.43 = 96,623.97 : x
  2. Step 2: Convert to fraction form
    254,407.83/381,599.43 = 96,623.97/x
  3. Step 3: Cross multiply
    254,407.83x = 381,599.43 × 96,623.97
  4. Step 4: Simplify right side
    254,407.83x = 36,871,651,876.34
  5. Step 5: Solve for x
    x = 36,871,651,876.34/254,407.83
  6. Step 6: Final answer
    x = 144,931.28

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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.