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Finding the Fourth Proportional to 362,506.19, 543,857.76 and 109,795.23

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Solution

The fourth proportional to 362,506.19, 543,857.76 and 109,795.23 is: 164,722.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,506.19 : 543,857.76 = 109,795.23 : x
  2. Step 2: Convert to fraction form
    362,506.19/543,857.76 = 109,795.23/x
  3. Step 3: Cross multiply
    362,506.19x = 543,857.76 × 109,795.23
  4. Step 4: Simplify right side
    362,506.19x = 59,712,987,846.48
  5. Step 5: Solve for x
    x = 59,712,987,846.48/362,506.19
  6. Step 6: Final answer
    x = 164,722.67

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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.