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Finding the Fourth Proportional to 153,880.32, 230,843.52 and 48,664.32

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Solution

The fourth proportional to 153,880.32, 230,843.52 and 48,664.32 is: 73,003.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,880.32 : 230,843.52 = 48,664.32 : x
  2. Step 2: Convert to fraction form
    153,880.32/230,843.52 = 48,664.32/x
  3. Step 3: Cross multiply
    153,880.32x = 230,843.52 × 48,664.32
  4. Step 4: Simplify right side
    153,880.32x = 11,233,842,927.21
  5. Step 5: Solve for x
    x = 11,233,842,927.21/153,880.32
  6. Step 6: Final answer
    x = 73,003.77

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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.