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Finding the Fourth Proportional to 201,140.68, 277,624.02 and 116,245.48

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Solution

The fourth proportional to 201,140.68, 277,624.02 and 116,245.48 is: 160,447.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,140.68 : 277,624.02 = 116,245.48 : x
  2. Step 2: Convert to fraction form
    201,140.68/277,624.02 = 116,245.48/x
  3. Step 3: Cross multiply
    201,140.68x = 277,624.02 × 116,245.48
  4. Step 4: Simplify right side
    201,140.68x = 32,272,537,464.43
  5. Step 5: Solve for x
    x = 32,272,537,464.43/201,140.68
  6. Step 6: Final answer
    x = 160,447.59

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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.