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Finding the Fourth Proportional to 199,935.61, 299,700.81 and 86,157.54

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Solution

The fourth proportional to 199,935.61, 299,700.81 and 86,157.54 is: 129,149.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,935.61 : 299,700.81 = 86,157.54 : x
  2. Step 2: Convert to fraction form
    199,935.61/299,700.81 = 86,157.54/x
  3. Step 3: Cross multiply
    199,935.61x = 299,700.81 × 86,157.54
  4. Step 4: Simplify right side
    199,935.61x = 25,821,484,525.61
  5. Step 5: Solve for x
    x = 25,821,484,525.61/199,935.61
  6. Step 6: Final answer
    x = 129,149.00

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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.