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Finding the Fourth Proportional to 233,137.92, 321,863.04 and 153,880.32

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Solution

The fourth proportional to 233,137.92, 321,863.04 and 153,880.32 is: 212,442.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,137.92 : 321,863.04 = 153,880.32 : x
  2. Step 2: Convert to fraction form
    233,137.92/321,863.04 = 153,880.32/x
  3. Step 3: Cross multiply
    233,137.92x = 321,863.04 × 153,880.32
  4. Step 4: Simplify right side
    233,137.92x = 49,528,387,591.37
  5. Step 5: Solve for x
    x = 49,528,387,591.37/233,137.92
  6. Step 6: Final answer
    x = 212,442.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.