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Finding the Fourth Proportional to 208,847.86, 288,206.94 and 118,221.01

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Solution

The fourth proportional to 208,847.86, 288,206.94 and 118,221.01 is: 163,143.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,847.86 : 288,206.94 = 118,221.01 : x
  2. Step 2: Convert to fraction form
    208,847.86/288,206.94 = 118,221.01/x
  3. Step 3: Cross multiply
    208,847.86x = 288,206.94 × 118,221.01
  4. Step 4: Simplify right side
    208,847.86x = 34,072,115,535.81
  5. Step 5: Solve for x
    x = 34,072,115,535.81/208,847.86
  6. Step 6: Final answer
    x = 163,143.24

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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.