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Finding the Fourth Proportional to 146,468, 201,930.36 and 116,353.28

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Solution

The fourth proportional to 146,468, 201,930.36 and 116,353.28 is: 160,412.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,468 : 201,930.36 = 116,353.28 : x
  2. Step 2: Convert to fraction form
    146,468/201,930.36 = 116,353.28/x
  3. Step 3: Cross multiply
    146,468x = 201,930.36 × 116,353.28
  4. Step 4: Simplify right side
    146,468x = 23,495,259,717.58
  5. Step 5: Solve for x
    x = 23,495,259,717.58/146,468
  6. Step 6: Final answer
    x = 160,412.24

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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.