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Finding the Fourth Proportional to 208,847.36, 288,188.16 and 118,184.96

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Solution

The fourth proportional to 208,847.36, 288,188.16 and 118,184.96 is: 163,083.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,847.36 : 288,188.16 = 118,184.96 : x
  2. Step 2: Convert to fraction form
    208,847.36/288,188.16 = 118,184.96/x
  3. Step 3: Cross multiply
    208,847.36x = 288,188.16 × 118,184.96
  4. Step 4: Simplify right side
    208,847.36x = 34,059,506,162.07
  5. Step 5: Solve for x
    x = 34,059,506,162.07/208,847.36
  6. Step 6: Final answer
    x = 163,083.25

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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.