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Finding the Fourth Proportional to 105,180.65, 145,147.44 and 59,857.67

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Solution

The fourth proportional to 105,180.65, 145,147.44 and 59,857.67 is: 82,602.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,180.65 : 145,147.44 = 59,857.67 : x
  2. Step 2: Convert to fraction form
    105,180.65/145,147.44 = 59,857.67/x
  3. Step 3: Cross multiply
    105,180.65x = 145,147.44 × 59,857.67
  4. Step 4: Simplify right side
    105,180.65x = 8,688,187,564.86
  5. Step 5: Solve for x
    x = 8,688,187,564.86/105,180.65
  6. Step 6: Final answer
    x = 82,602.53

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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.