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Finding the Fourth Proportional to 175,451, 263,203.84 and 57,094.40

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Solution

The fourth proportional to 175,451, 263,203.84 and 57,094.40 is: 85,650.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,451 : 263,203.84 = 57,094.40 : x
  2. Step 2: Convert to fraction form
    175,451/263,203.84 = 57,094.40/x
  3. Step 3: Cross multiply
    175,451x = 263,203.84 × 57,094.40
  4. Step 4: Simplify right side
    175,451x = 15,027,465,322.50
  5. Step 5: Solve for x
    x = 15,027,465,322.50/175,451
  6. Step 6: Final answer
    x = 85,650.50

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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.