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Finding the Fourth Proportional to 201,139.68, 277,622.64 and 116,244.48

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Solution

The fourth proportional to 201,139.68, 277,622.64 and 116,244.48 is: 160,446.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,139.68 : 277,622.64 = 116,244.48 : x
  2. Step 2: Convert to fraction form
    201,139.68/277,622.64 = 116,244.48/x
  3. Step 3: Cross multiply
    201,139.68x = 277,622.64 × 116,244.48
  4. Step 4: Simplify right side
    201,139.68x = 32,272,099,423.03
  5. Step 5: Solve for x
    x = 32,272,099,423.03/201,139.68
  6. Step 6: Final answer
    x = 160,446.21

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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.