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Finding the Fourth Proportional to 164,057.40, 245,894.08 and 75,319.44

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Solution

The fourth proportional to 164,057.40, 245,894.08 and 75,319.44 is: 112,891.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,057.40 : 245,894.08 = 75,319.44 : x
  2. Step 2: Convert to fraction form
    164,057.40/245,894.08 = 75,319.44/x
  3. Step 3: Cross multiply
    164,057.40x = 245,894.08 × 75,319.44
  4. Step 4: Simplify right side
    164,057.40x = 18,520,604,404.92
  5. Step 5: Solve for x
    x = 18,520,604,404.92/164,057.40
  6. Step 6: Final answer
    x = 112,891.00

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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.