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Finding the Fourth Proportional to 201,019.40, 277,387.12 and 116,134.64

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Solution

The fourth proportional to 201,019.40, 277,387.12 and 116,134.64 is: 160,254.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,019.40 : 277,387.12 = 116,134.64 : x
  2. Step 2: Convert to fraction form
    201,019.40/277,387.12 = 116,134.64/x
  3. Step 3: Cross multiply
    201,019.40x = 277,387.12 × 116,134.64
  4. Step 4: Simplify right side
    201,019.40x = 32,214,253,321.84
  5. Step 5: Solve for x
    x = 32,214,253,321.84/201,019.40
  6. Step 6: Final answer
    x = 160,254.45

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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.