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Finding the Fourth Proportional to 142,709.22, 214,018.50 and 46,624.54

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Solution

The fourth proportional to 142,709.22, 214,018.50 and 46,624.54 is: 69,922.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,709.22 : 214,018.50 = 46,624.54 : x
  2. Step 2: Convert to fraction form
    142,709.22/214,018.50 = 46,624.54/x
  3. Step 3: Cross multiply
    142,709.22x = 214,018.50 × 46,624.54
  4. Step 4: Simplify right side
    142,709.22x = 9,978,513,553.14
  5. Step 5: Solve for x
    x = 9,978,513,553.14/142,709.22
  6. Step 6: Final answer
    x = 69,922.00

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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.