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Finding the Fourth Proportional to 142,038.40, 213,041.86 and 50,850.17

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Solution

The fourth proportional to 142,038.40, 213,041.86 and 50,850.17 is: 76,269.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,038.40 : 213,041.86 = 50,850.17 : x
  2. Step 2: Convert to fraction form
    142,038.40/213,041.86 = 50,850.17/x
  3. Step 3: Cross multiply
    142,038.40x = 213,041.86 × 50,850.17
  4. Step 4: Simplify right side
    142,038.40x = 10,833,214,798.12
  5. Step 5: Solve for x
    x = 10,833,214,798.12/142,038.40
  6. Step 6: Final answer
    x = 76,269.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.