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Finding the Fourth Proportional to 191,638.44, 264,492.54 and 106,782.84

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Solution

The fourth proportional to 191,638.44, 264,492.54 and 106,782.84 is: 147,377.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,638.44 : 264,492.54 = 106,782.84 : x
  2. Step 2: Convert to fraction form
    191,638.44/264,492.54 = 106,782.84/x
  3. Step 3: Cross multiply
    191,638.44x = 264,492.54 × 106,782.84
  4. Step 4: Simplify right side
    191,638.44x = 28,243,264,580.01
  5. Step 5: Solve for x
    x = 28,243,264,580.01/191,638.44
  6. Step 6: Final answer
    x = 147,377.87

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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.