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Finding the Fourth Proportional to 105,206.93, 145,183.32 and 57,460.47

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Solution

The fourth proportional to 105,206.93, 145,183.32 and 57,460.47 is: 79,294.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,206.93 : 145,183.32 = 57,460.47 : x
  2. Step 2: Convert to fraction form
    105,206.93/145,183.32 = 57,460.47/x
  3. Step 3: Cross multiply
    105,206.93x = 145,183.32 × 57,460.47
  4. Step 4: Simplify right side
    105,206.93x = 8,342,301,258.92
  5. Step 5: Solve for x
    x = 8,342,301,258.92/105,206.93
  6. Step 6: Final answer
    x = 79,294.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.