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Finding the Fourth Proportional to 234,645.60, 351,969.12 and 57,152.64

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Solution

The fourth proportional to 234,645.60, 351,969.12 and 57,152.64 is: 85,729.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,645.60 : 351,969.12 = 57,152.64 : x
  2. Step 2: Convert to fraction form
    234,645.60/351,969.12 = 57,152.64/x
  3. Step 3: Cross multiply
    234,645.60x = 351,969.12 × 57,152.64
  4. Step 4: Simplify right side
    234,645.60x = 20,115,964,406.48
  5. Step 5: Solve for x
    x = 20,115,964,406.48/234,645.60
  6. Step 6: Final answer
    x = 85,729.14

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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.