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Finding the Fourth Proportional to 310,880.10, 465,974.55 and 133,356.90

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Solution

The fourth proportional to 310,880.10, 465,974.55 and 133,356.90 is: 199,887.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,880.10 : 465,974.55 = 133,356.90 : x
  2. Step 2: Convert to fraction form
    310,880.10/465,974.55 = 133,356.90/x
  3. Step 3: Cross multiply
    310,880.10x = 465,974.55 × 133,356.90
  4. Step 4: Simplify right side
    310,880.10x = 62,140,921,466.90
  5. Step 5: Solve for x
    x = 62,140,921,466.90/310,880.10
  6. Step 6: Final answer
    x = 199,887.10

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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.