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Finding the Fourth Proportional to 342,745.38, 514,223.17 and 153,365.18

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Solution

The fourth proportional to 342,745.38, 514,223.17 and 153,365.18 is: 230,094.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,745.38 : 514,223.17 = 153,365.18 : x
  2. Step 2: Convert to fraction form
    342,745.38/514,223.17 = 153,365.18/x
  3. Step 3: Cross multiply
    342,745.38x = 514,223.17 × 153,365.18
  4. Step 4: Simplify right side
    342,745.38x = 78,863,926,072.69
  5. Step 5: Solve for x
    x = 78,863,926,072.69/342,745.38
  6. Step 6: Final answer
    x = 230,094.79

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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.