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Finding the Fourth Proportional to 302,800.86, 454,271.64 and 103,122.97

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Solution

The fourth proportional to 302,800.86, 454,271.64 and 103,122.97 is: 154,708.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,800.86 : 454,271.64 = 103,122.97 : x
  2. Step 2: Convert to fraction form
    302,800.86/454,271.64 = 103,122.97/x
  3. Step 3: Cross multiply
    302,800.86x = 454,271.64 × 103,122.97
  4. Step 4: Simplify right side
    302,800.86x = 46,845,840,703.57
  5. Step 5: Solve for x
    x = 46,845,840,703.57/302,800.86
  6. Step 6: Final answer
    x = 154,708.41

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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.