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Finding the Fourth Proportional to 209,271.36, 288,637.44 and 147,992

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Solution

The fourth proportional to 209,271.36, 288,637.44 and 147,992 is: 204,117.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,271.36 : 288,637.44 = 147,992 : x
  2. Step 2: Convert to fraction form
    209,271.36/288,637.44 = 147,992/x
  3. Step 3: Cross multiply
    209,271.36x = 288,637.44 × 147,992
  4. Step 4: Simplify right side
    209,271.36x = 42,716,032,020.48
  5. Step 5: Solve for x
    x = 42,716,032,020.48/209,271.36
  6. Step 6: Final answer
    x = 204,117.91

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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.