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Finding the Fourth Proportional to 164,871.86, 227,271.57 and 101,091.38

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Solution

The fourth proportional to 164,871.86, 227,271.57 and 101,091.38 is: 139,351.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,871.86 : 227,271.57 = 101,091.38 : x
  2. Step 2: Convert to fraction form
    164,871.86/227,271.57 = 101,091.38/x
  3. Step 3: Cross multiply
    164,871.86x = 227,271.57 × 101,091.38
  4. Step 4: Simplify right side
    164,871.86x = 22,975,196,646.07
  5. Step 5: Solve for x
    x = 22,975,196,646.07/164,871.86
  6. Step 6: Final answer
    x = 139,351.84

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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.