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Finding the Fourth Proportional to 175,302.64, 262,830.84 and 61,422.56

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Solution

The fourth proportional to 175,302.64, 262,830.84 and 61,422.56 is: 92,090.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,302.64 : 262,830.84 = 61,422.56 : x
  2. Step 2: Convert to fraction form
    175,302.64/262,830.84 = 61,422.56/x
  3. Step 3: Cross multiply
    175,302.64x = 262,830.84 × 61,422.56
  4. Step 4: Simplify right side
    175,302.64x = 16,143,743,039.75
  5. Step 5: Solve for x
    x = 16,143,743,039.75/175,302.64
  6. Step 6: Final answer
    x = 92,090.70

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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.