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Finding the Fourth Proportional to 208,913.99, 288,319.14 and 118,285.92

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Solution

The fourth proportional to 208,913.99, 288,319.14 and 118,285.92 is: 163,244.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,913.99 : 288,319.14 = 118,285.92 : x
  2. Step 2: Convert to fraction form
    208,913.99/288,319.14 = 118,285.92/x
  3. Step 3: Cross multiply
    208,913.99x = 288,319.14 × 118,285.92
  4. Step 4: Simplify right side
    208,913.99x = 34,104,094,728.51
  5. Step 5: Solve for x
    x = 34,104,094,728.51/208,913.99
  6. Step 6: Final answer
    x = 163,244.67

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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.