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Finding the Fourth Proportional to 312,152.88, 468,334.41 and 98,955.60

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Solution

The fourth proportional to 312,152.88, 468,334.41 and 98,955.60 is: 148,466.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,152.88 : 468,334.41 = 98,955.60 : x
  2. Step 2: Convert to fraction form
    312,152.88/468,334.41 = 98,955.60/x
  3. Step 3: Cross multiply
    312,152.88x = 468,334.41 × 98,955.60
  4. Step 4: Simplify right side
    312,152.88x = 46,344,312,542.20
  5. Step 5: Solve for x
    x = 46,344,312,542.20/312,152.88
  6. Step 6: Final answer
    x = 148,466.71

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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.