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Finding the Fourth Proportional to 205,072.63, 307,607.10 and 64,831.30

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Solution

The fourth proportional to 205,072.63, 307,607.10 and 64,831.30 is: 97,246.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,072.63 : 307,607.10 = 64,831.30 : x
  2. Step 2: Convert to fraction form
    205,072.63/307,607.10 = 64,831.30/x
  3. Step 3: Cross multiply
    205,072.63x = 307,607.10 × 64,831.30
  4. Step 4: Simplify right side
    205,072.63x = 19,942,568,182.23
  5. Step 5: Solve for x
    x = 19,942,568,182.23/205,072.63
  6. Step 6: Final answer
    x = 97,246.37

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Why These Related Problems?

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