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Finding the Fourth Proportional to 259,695.97, 389,681.08 and 184,281.78

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Solution

The fourth proportional to 259,695.97, 389,681.08 and 184,281.78 is: 276,519.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,695.97 : 389,681.08 = 184,281.78 : x
  2. Step 2: Convert to fraction form
    259,695.97/389,681.08 = 184,281.78/x
  3. Step 3: Cross multiply
    259,695.97x = 389,681.08 × 184,281.78
  4. Step 4: Simplify right side
    259,695.97x = 71,811,124,055.32
  5. Step 5: Solve for x
    x = 71,811,124,055.32/259,695.97
  6. Step 6: Final answer
    x = 276,519.98

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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.