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Finding the Fourth Proportional to 146,032.40, 201,446.60 and 100,732.80

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Solution

The fourth proportional to 146,032.40, 201,446.60 and 100,732.80 is: 138,957.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,032.40 : 201,446.60 = 100,732.80 : x
  2. Step 2: Convert to fraction form
    146,032.40/201,446.60 = 100,732.80/x
  3. Step 3: Cross multiply
    146,032.40x = 201,446.60 × 100,732.80
  4. Step 4: Simplify right side
    146,032.40x = 20,292,279,564.82
  5. Step 5: Solve for x
    x = 20,292,279,564.82/146,032.40
  6. Step 6: Final answer
    x = 138,957.38

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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.