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Finding the Fourth Proportional to 164,281.42, 226,533.32 and 129,765.48

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Solution

The fourth proportional to 164,281.42, 226,533.32 and 129,765.48 is: 178,938.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,281.42 : 226,533.32 = 129,765.48 : x
  2. Step 2: Convert to fraction form
    164,281.42/226,533.32 = 129,765.48/x
  3. Step 3: Cross multiply
    164,281.42x = 226,533.32 × 129,765.48
  4. Step 4: Simplify right side
    164,281.42x = 29,396,205,005.79
  5. Step 5: Solve for x
    x = 29,396,205,005.79/164,281.42
  6. Step 6: Final answer
    x = 178,938.10

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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.