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Finding the Fourth Proportional to 175,114.64, 262,697.88 and 64,298

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Solution

The fourth proportional to 175,114.64, 262,697.88 and 64,298 is: 96,456.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,114.64 : 262,697.88 = 64,298 : x
  2. Step 2: Convert to fraction form
    175,114.64/262,697.88 = 64,298/x
  3. Step 3: Cross multiply
    175,114.64x = 262,697.88 × 64,298
  4. Step 4: Simplify right side
    175,114.64x = 16,890,948,288.24
  5. Step 5: Solve for x
    x = 16,890,948,288.24/175,114.64
  6. Step 6: Final answer
    x = 96,456.52

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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.