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Finding the Fourth Proportional to 142,676.37, 214,050.06 and 42,838.34

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Solution

The fourth proportional to 142,676.37, 214,050.06 and 42,838.34 is: 64,268.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,676.37 : 214,050.06 = 42,838.34 : x
  2. Step 2: Convert to fraction form
    142,676.37/214,050.06 = 42,838.34/x
  3. Step 3: Cross multiply
    142,676.37x = 214,050.06 × 42,838.34
  4. Step 4: Simplify right side
    142,676.37x = 9,169,548,177.05
  5. Step 5: Solve for x
    x = 9,169,548,177.05/142,676.37
  6. Step 6: Final answer
    x = 64,268.16

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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.