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Finding the Fourth Proportional to 211,214.80, 316,822.20 and 184,970.80

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Solution

The fourth proportional to 211,214.80, 316,822.20 and 184,970.80 is: 277,456.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,214.80 : 316,822.20 = 184,970.80 : x
  2. Step 2: Convert to fraction form
    211,214.80/316,822.20 = 184,970.80/x
  3. Step 3: Cross multiply
    211,214.80x = 316,822.20 × 184,970.80
  4. Step 4: Simplify right side
    211,214.80x = 58,602,855,791.76
  5. Step 5: Solve for x
    x = 58,602,855,791.76/211,214.80
  6. Step 6: Final answer
    x = 277,456.20

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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.