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Finding the Fourth Proportional to 205,015, 307,574.34 and 57,271

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Solution

The fourth proportional to 205,015, 307,574.34 and 57,271 is: 85,920.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,015 : 307,574.34 = 57,271 : x
  2. Step 2: Convert to fraction form
    205,015/307,574.34 = 57,271/x
  3. Step 3: Cross multiply
    205,015x = 307,574.34 × 57,271
  4. Step 4: Simplify right side
    205,015x = 17,615,090,026.14
  5. Step 5: Solve for x
    x = 17,615,090,026.14/205,015
  6. Step 6: Final answer
    x = 85,920.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.