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Finding the Fourth Proportional to 140,043.84, 209,997.54 and 46,518

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Solution

The fourth proportional to 140,043.84, 209,997.54 and 46,518 is: 69,754.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,043.84 : 209,997.54 = 46,518 : x
  2. Step 2: Convert to fraction form
    140,043.84/209,997.54 = 46,518/x
  3. Step 3: Cross multiply
    140,043.84x = 209,997.54 × 46,518
  4. Step 4: Simplify right side
    140,043.84x = 9,768,665,565.72
  5. Step 5: Solve for x
    x = 9,768,665,565.72/140,043.84
  6. Step 6: Final answer
    x = 69,754.34

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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.