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Finding the Fourth Proportional to 202,133.80, 302,866.98 and 123,008.68

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Solution

The fourth proportional to 202,133.80, 302,866.98 and 123,008.68 is: 184,309.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,133.80 : 302,866.98 = 123,008.68 : x
  2. Step 2: Convert to fraction form
    202,133.80/302,866.98 = 123,008.68/x
  3. Step 3: Cross multiply
    202,133.80x = 302,866.98 × 123,008.68
  4. Step 4: Simplify right side
    202,133.80x = 37,255,267,425.39
  5. Step 5: Solve for x
    x = 37,255,267,425.39/202,133.80
  6. Step 6: Final answer
    x = 184,309.93

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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.