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Finding the Fourth Proportional to 201,962.48, 278,691.83 and 117,085.01

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Solution

The fourth proportional to 201,962.48, 278,691.83 and 117,085.01 is: 161,567.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,962.48 : 278,691.83 = 117,085.01 : x
  2. Step 2: Convert to fraction form
    201,962.48/278,691.83 = 117,085.01/x
  3. Step 3: Cross multiply
    201,962.48x = 278,691.83 × 117,085.01
  4. Step 4: Simplify right side
    201,962.48x = 32,630,635,646.82
  5. Step 5: Solve for x
    x = 32,630,635,646.82/201,962.48
  6. Step 6: Final answer
    x = 161,567.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.