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Finding the Fourth Proportional to 199,782.94, 299,574.08 and 66,616.06

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Solution

The fourth proportional to 199,782.94, 299,574.08 and 66,616.06 is: 99,890.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,782.94 : 299,574.08 = 66,616.06 : x
  2. Step 2: Convert to fraction form
    199,782.94/299,574.08 = 66,616.06/x
  3. Step 3: Cross multiply
    199,782.94x = 299,574.08 × 66,616.06
  4. Step 4: Simplify right side
    199,782.94x = 19,956,444,887.72
  5. Step 5: Solve for x
    x = 19,956,444,887.72/199,782.94
  6. Step 6: Final answer
    x = 99,890.64

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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.