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Finding the Fourth Proportional to 254,595.96, 381,762.72 and 174,755.88

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Solution

The fourth proportional to 254,595.96, 381,762.72 and 174,755.88 is: 262,043.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,595.96 : 381,762.72 = 174,755.88 : x
  2. Step 2: Convert to fraction form
    254,595.96/381,762.72 = 174,755.88/x
  3. Step 3: Cross multiply
    254,595.96x = 381,762.72 × 174,755.88
  4. Step 4: Simplify right side
    254,595.96x = 66,715,280,084.79
  5. Step 5: Solve for x
    x = 66,715,280,084.79/254,595.96
  6. Step 6: Final answer
    x = 262,043.75

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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.