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Finding the Fourth Proportional to 105,064.94, 144,993.66 and 59,747.01

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Solution

The fourth proportional to 105,064.94, 144,993.66 and 59,747.01 is: 82,453.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,064.94 : 144,993.66 = 59,747.01 : x
  2. Step 2: Convert to fraction form
    105,064.94/144,993.66 = 59,747.01/x
  3. Step 3: Cross multiply
    105,064.94x = 144,993.66 × 59,747.01
  4. Step 4: Simplify right side
    105,064.94x = 8,662,937,653.96
  5. Step 5: Solve for x
    x = 8,662,937,653.96/105,064.94
  6. Step 6: Final answer
    x = 82,453.17

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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.