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Finding the Fourth Proportional to 140,727.84, 211,150.41 and 56,547.84

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Solution

The fourth proportional to 140,727.84, 211,150.41 and 56,547.84 is: 84,845.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,727.84 : 211,150.41 = 56,547.84 : x
  2. Step 2: Convert to fraction form
    140,727.84/211,150.41 = 56,547.84/x
  3. Step 3: Cross multiply
    140,727.84x = 211,150.41 × 56,547.84
  4. Step 4: Simplify right side
    140,727.84x = 11,940,099,600.61
  5. Step 5: Solve for x
    x = 11,940,099,600.61/140,727.84
  6. Step 6: Final answer
    x = 84,845.33

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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.