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Finding the Fourth Proportional to 209,137.38, 288,586.16 and 118,473.93

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Solution

The fourth proportional to 209,137.38, 288,586.16 and 118,473.93 is: 163,480.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,137.38 : 288,586.16 = 118,473.93 : x
  2. Step 2: Convert to fraction form
    209,137.38/288,586.16 = 118,473.93/x
  3. Step 3: Cross multiply
    209,137.38x = 288,586.16 × 118,473.93
  4. Step 4: Simplify right side
    209,137.38x = 34,189,936,518.81
  5. Step 5: Solve for x
    x = 34,189,936,518.81/209,137.38
  6. Step 6: Final answer
    x = 163,480.75

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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.