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Finding the Fourth Proportional to 201,043.13, 277,419.89 and 116,158.37

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Solution

The fourth proportional to 201,043.13, 277,419.89 and 116,158.37 is: 160,287.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,043.13 : 277,419.89 = 116,158.37 : x
  2. Step 2: Convert to fraction form
    201,043.13/277,419.89 = 116,158.37/x
  3. Step 3: Cross multiply
    201,043.13x = 277,419.89 × 116,158.37
  4. Step 4: Simplify right side
    201,043.13x = 32,224,641,647.19
  5. Step 5: Solve for x
    x = 32,224,641,647.19/201,043.13
  6. Step 6: Final answer
    x = 160,287.21

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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.