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Finding the Fourth Proportional to 105,762.15, 145,942.47 and 60,431.13

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Solution

The fourth proportional to 105,762.15, 145,942.47 and 60,431.13 is: 83,389.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,762.15 : 145,942.47 = 60,431.13 : x
  2. Step 2: Convert to fraction form
    105,762.15/145,942.47 = 60,431.13/x
  3. Step 3: Cross multiply
    105,762.15x = 145,942.47 × 60,431.13
  4. Step 4: Simplify right side
    105,762.15x = 8,819,468,377.09
  5. Step 5: Solve for x
    x = 8,819,468,377.09/105,762.15
  6. Step 6: Final answer
    x = 83,389.65

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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.