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Finding the Fourth Proportional to 151,268.58, 208,748.61 and 84,200.58

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Solution

The fourth proportional to 151,268.58, 208,748.61 and 84,200.58 is: 116,195.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,268.58 : 208,748.61 = 84,200.58 : x
  2. Step 2: Convert to fraction form
    151,268.58/208,748.61 = 84,200.58/x
  3. Step 3: Cross multiply
    151,268.58x = 208,748.61 × 84,200.58
  4. Step 4: Simplify right side
    151,268.58x = 17,576,754,036.19
  5. Step 5: Solve for x
    x = 17,576,754,036.19/151,268.58
  6. Step 6: Final answer
    x = 116,195.67

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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.