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Finding the Fourth Proportional to 130,883.71, 196,300.71 and 36,090.46

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Solution

The fourth proportional to 130,883.71, 196,300.71 and 36,090.46 is: 54,128.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,883.71 : 196,300.71 = 36,090.46 : x
  2. Step 2: Convert to fraction form
    130,883.71/196,300.71 = 36,090.46/x
  3. Step 3: Cross multiply
    130,883.71x = 196,300.71 × 36,090.46
  4. Step 4: Simplify right side
    130,883.71x = 7,084,582,922.23
  5. Step 5: Solve for x
    x = 7,084,582,922.23/130,883.71
  6. Step 6: Final answer
    x = 54,128.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.