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Finding the Fourth Proportional to 195,551.64, 293,467.32 and 83,310.48

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Solution

The fourth proportional to 195,551.64, 293,467.32 and 83,310.48 is: 125,025.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,551.64 : 293,467.32 = 83,310.48 : x
  2. Step 2: Convert to fraction form
    195,551.64/293,467.32 = 83,310.48/x
  3. Step 3: Cross multiply
    195,551.64x = 293,467.32 × 83,310.48
  4. Step 4: Simplify right side
    195,551.64x = 24,448,903,293.51
  5. Step 5: Solve for x
    x = 24,448,903,293.51/195,551.64
  6. Step 6: Final answer
    x = 125,025.30

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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.