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Finding the Fourth Proportional to 200,041.81, 276,368.54 and 167,726.33

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Solution

The fourth proportional to 200,041.81, 276,368.54 and 167,726.33 is: 231,722.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,041.81 : 276,368.54 = 167,726.33 : x
  2. Step 2: Convert to fraction form
    200,041.81/276,368.54 = 167,726.33/x
  3. Step 3: Cross multiply
    200,041.81x = 276,368.54 × 167,726.33
  4. Step 4: Simplify right side
    200,041.81x = 46,354,280,294.96
  5. Step 5: Solve for x
    x = 46,354,280,294.96/200,041.81
  6. Step 6: Final answer
    x = 231,722.95

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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.