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Finding the Fourth Proportional to 228,509.00, 342,894.67 and 178,448.57

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Solution

The fourth proportional to 228,509.00, 342,894.67 and 178,448.57 is: 267,775.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,509.00 : 342,894.67 = 178,448.57 : x
  2. Step 2: Convert to fraction form
    228,509.00/342,894.67 = 178,448.57/x
  3. Step 3: Cross multiply
    228,509.00x = 342,894.67 × 178,448.57
  4. Step 4: Simplify right side
    228,509.00x = 61,189,062,647.38
  5. Step 5: Solve for x
    x = 61,189,062,647.38/228,509.00
  6. Step 6: Final answer
    x = 267,775.29

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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.