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Finding the Fourth Proportional to 201,632.82, 278,241.04 and 116,733.48

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Solution

The fourth proportional to 201,632.82, 278,241.04 and 116,733.48 is: 161,085.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,632.82 : 278,241.04 = 116,733.48 : x
  2. Step 2: Convert to fraction form
    201,632.82/278,241.04 = 116,733.48/x
  3. Step 3: Cross multiply
    201,632.82x = 278,241.04 × 116,733.48
  4. Step 4: Simplify right side
    201,632.82x = 32,480,044,878.02
  5. Step 5: Solve for x
    x = 32,480,044,878.02/201,632.82
  6. Step 6: Final answer
    x = 161,085.11

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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.