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Finding the Fourth Proportional to 209,573.63, 289,505.70 and 186,905.37

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Solution

The fourth proportional to 209,573.63, 289,505.70 and 186,905.37 is: 258,191.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,573.63 : 289,505.70 = 186,905.37 : x
  2. Step 2: Convert to fraction form
    209,573.63/289,505.70 = 186,905.37/x
  3. Step 3: Cross multiply
    209,573.63x = 289,505.70 × 186,905.37
  4. Step 4: Simplify right side
    209,573.63x = 54,110,169,975.61
  5. Step 5: Solve for x
    x = 54,110,169,975.61/209,573.63
  6. Step 6: Final answer
    x = 258,191.70

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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.