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Finding the Fourth Proportional to 103,222.50, 142,449.21 and 58,510.50

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Solution

The fourth proportional to 103,222.50, 142,449.21 and 58,510.50 is: 80,745.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,222.50 : 142,449.21 = 58,510.50 : x
  2. Step 2: Convert to fraction form
    103,222.50/142,449.21 = 58,510.50/x
  3. Step 3: Cross multiply
    103,222.50x = 142,449.21 × 58,510.50
  4. Step 4: Simplify right side
    103,222.50x = 8,334,774,501.71
  5. Step 5: Solve for x
    x = 8,334,774,501.71/103,222.50
  6. Step 6: Final answer
    x = 80,745.71

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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.