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Finding the Fourth Proportional to 259,599.72, 358,409.80 and 199,054.06

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Solution

The fourth proportional to 259,599.72, 358,409.80 and 199,054.06 is: 274,818.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,599.72 : 358,409.80 = 199,054.06 : x
  2. Step 2: Convert to fraction form
    259,599.72/358,409.80 = 199,054.06/x
  3. Step 3: Cross multiply
    259,599.72x = 358,409.80 × 199,054.06
  4. Step 4: Simplify right side
    259,599.72x = 71,342,925,833.79
  5. Step 5: Solve for x
    x = 71,342,925,833.79/259,599.72
  6. Step 6: Final answer
    x = 274,818.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.