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Finding the Fourth Proportional to 362,019.75, 543,117.41 and 109,285.13

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Solution

The fourth proportional to 362,019.75, 543,117.41 and 109,285.13 is: 163,954.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,019.75 : 543,117.41 = 109,285.13 : x
  2. Step 2: Convert to fraction form
    362,019.75/543,117.41 = 109,285.13/x
  3. Step 3: Cross multiply
    362,019.75x = 543,117.41 × 109,285.13
  4. Step 4: Simplify right side
    362,019.75x = 59,354,653,495.10
  5. Step 5: Solve for x
    x = 59,354,653,495.10/362,019.75
  6. Step 6: Final answer
    x = 163,954.19

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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.