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Finding the Fourth Proportional to 209,135.38, 288,583.40 and 118,471.93

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Solution

The fourth proportional to 209,135.38, 288,583.40 and 118,471.93 is: 163,477.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,135.38 : 288,583.40 = 118,471.93 : x
  2. Step 2: Convert to fraction form
    209,135.38/288,583.40 = 118,471.93/x
  3. Step 3: Cross multiply
    209,135.38x = 288,583.40 × 118,471.93
  4. Step 4: Simplify right side
    209,135.38x = 34,189,030,921.05
  5. Step 5: Solve for x
    x = 34,189,030,921.05/209,135.38
  6. Step 6: Final answer
    x = 163,477.99

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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.