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Finding the Fourth Proportional to 209,852.59, 289,596.62 and 114,359.30

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Solution

The fourth proportional to 209,852.59, 289,596.62 and 114,359.30 is: 157,815.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,852.59 : 289,596.62 = 114,359.30 : x
  2. Step 2: Convert to fraction form
    209,852.59/289,596.62 = 114,359.30/x
  3. Step 3: Cross multiply
    209,852.59x = 289,596.62 × 114,359.30
  4. Step 4: Simplify right side
    209,852.59x = 33,118,066,173.77
  5. Step 5: Solve for x
    x = 33,118,066,173.77/209,852.59
  6. Step 6: Final answer
    x = 157,815.86

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