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Finding the Fourth Proportional to 191,604.31, 264,401.19 and 111,017.46

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Solution

The fourth proportional to 191,604.31, 264,401.19 and 111,017.46 is: 153,196.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,604.31 : 264,401.19 = 111,017.46 : x
  2. Step 2: Convert to fraction form
    191,604.31/264,401.19 = 111,017.46/x
  3. Step 3: Cross multiply
    191,604.31x = 264,401.19 × 111,017.46
  4. Step 4: Simplify right side
    191,604.31x = 29,353,148,534.78
  5. Step 5: Solve for x
    x = 29,353,148,534.78/191,604.31
  6. Step 6: Final answer
    x = 153,196.70

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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.