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Finding the Fourth Proportional to 211,216.80, 316,825.20 and 184,972.80

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Solution

The fourth proportional to 211,216.80, 316,825.20 and 184,972.80 is: 277,459.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,216.80 : 316,825.20 = 184,972.80 : x
  2. Step 2: Convert to fraction form
    211,216.80/316,825.20 = 184,972.80/x
  3. Step 3: Cross multiply
    211,216.80x = 316,825.20 × 184,972.80
  4. Step 4: Simplify right side
    211,216.80x = 58,604,044,354.56
  5. Step 5: Solve for x
    x = 58,604,044,354.56/211,216.80
  6. Step 6: Final answer
    x = 277,459.20

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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.