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Finding the Fourth Proportional to 208,709.64, 288,019.40 and 118,063.67

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Solution

The fourth proportional to 208,709.64, 288,019.40 and 118,063.67 is: 162,927.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,709.64 : 288,019.40 = 118,063.67 : x
  2. Step 2: Convert to fraction form
    208,709.64/288,019.40 = 118,063.67/x
  3. Step 3: Cross multiply
    208,709.64x = 288,019.40 × 118,063.67
  4. Step 4: Simplify right side
    208,709.64x = 34,004,625,364.78
  5. Step 5: Solve for x
    x = 34,004,625,364.78/208,709.64
  6. Step 6: Final answer
    x = 162,927.91

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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.