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Finding the Fourth Proportional to 113,523, 170,022.06 and 109,586.40

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Solution

The fourth proportional to 113,523, 170,022.06 and 109,586.40 is: 164,126.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,523 : 170,022.06 = 109,586.40 : x
  2. Step 2: Convert to fraction form
    113,523/170,022.06 = 109,586.40/x
  3. Step 3: Cross multiply
    113,523x = 170,022.06 × 109,586.40
  4. Step 4: Simplify right side
    113,523x = 18,632,105,475.98
  5. Step 5: Solve for x
    x = 18,632,105,475.98/113,523
  6. Step 6: Final answer
    x = 164,126.26

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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.