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Finding the Fourth Proportional to 301,167.86, 415,541.95 and 180,263.21

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Solution

The fourth proportional to 301,167.86, 415,541.95 and 180,263.21 is: 248,721.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,167.86 : 415,541.95 = 180,263.21 : x
  2. Step 2: Convert to fraction form
    301,167.86/415,541.95 = 180,263.21/x
  3. Step 3: Cross multiply
    301,167.86x = 415,541.95 × 180,263.21
  4. Step 4: Simplify right side
    301,167.86x = 74,906,923,268.29
  5. Step 5: Solve for x
    x = 74,906,923,268.29/301,167.86
  6. Step 6: Final answer
    x = 248,721.51

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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.