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Finding the Fourth Proportional to 104,184, 156,301.92 and 30,312

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Solution

The fourth proportional to 104,184, 156,301.92 and 30,312 is: 45,475.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,184 : 156,301.92 = 30,312 : x
  2. Step 2: Convert to fraction form
    104,184/156,301.92 = 30,312/x
  3. Step 3: Cross multiply
    104,184x = 156,301.92 × 30,312
  4. Step 4: Simplify right side
    104,184x = 4,737,823,799.04
  5. Step 5: Solve for x
    x = 4,737,823,799.04/104,184
  6. Step 6: Final answer
    x = 45,475.54

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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.