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Finding the Fourth Proportional to 312,004.20, 468,007.08 and 101,658.52

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Solution

The fourth proportional to 312,004.20, 468,007.08 and 101,658.52 is: 152,488.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,004.20 : 468,007.08 = 101,658.52 : x
  2. Step 2: Convert to fraction form
    312,004.20/468,007.08 = 101,658.52/x
  3. Step 3: Cross multiply
    312,004.20x = 468,007.08 × 101,658.52
  4. Step 4: Simplify right side
    312,004.20x = 47,576,907,102.32
  5. Step 5: Solve for x
    x = 47,576,907,102.32/312,004.20
  6. Step 6: Final answer
    x = 152,488.03

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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.