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Finding the Fourth Proportional to 197,058.64, 295,705.72 and 72,412.24

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Solution

The fourth proportional to 197,058.64, 295,705.72 and 72,412.24 is: 108,661.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,058.64 : 295,705.72 = 72,412.24 : x
  2. Step 2: Convert to fraction form
    197,058.64/295,705.72 = 72,412.24/x
  3. Step 3: Cross multiply
    197,058.64x = 295,705.72 × 72,412.24
  4. Step 4: Simplify right side
    197,058.64x = 21,412,713,566.01
  5. Step 5: Solve for x
    x = 21,412,713,566.01/197,058.64
  6. Step 6: Final answer
    x = 108,661.63

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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.