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Finding the Fourth Proportional to 215,062.56, 296,546.40 and 147,090.60

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Solution

The fourth proportional to 215,062.56, 296,546.40 and 147,090.60 is: 202,820.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,062.56 : 296,546.40 = 147,090.60 : x
  2. Step 2: Convert to fraction form
    215,062.56/296,546.40 = 147,090.60/x
  3. Step 3: Cross multiply
    215,062.56x = 296,546.40 × 147,090.60
  4. Step 4: Simplify right side
    215,062.56x = 43,619,187,903.84
  5. Step 5: Solve for x
    x = 43,619,187,903.84/215,062.56
  6. Step 6: Final answer
    x = 202,820.93

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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.