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Finding the Fourth Proportional to 211,549.52, 315,125.54 and 200,090.09

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Solution

The fourth proportional to 211,549.52, 315,125.54 and 200,090.09 is: 298,055.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,549.52 : 315,125.54 = 200,090.09 : x
  2. Step 2: Convert to fraction form
    211,549.52/315,125.54 = 200,090.09/x
  3. Step 3: Cross multiply
    211,549.52x = 315,125.54 × 200,090.09
  4. Step 4: Simplify right side
    211,549.52x = 63,053,495,083.82
  5. Step 5: Solve for x
    x = 63,053,495,083.82/211,549.52
  6. Step 6: Final answer
    x = 298,055.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.