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Finding the Fourth Proportional to 142,649.30, 214,009.49 and 42,811.34

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Solution

The fourth proportional to 142,649.30, 214,009.49 and 42,811.34 is: 64,227.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,649.30 : 214,009.49 = 42,811.34 : x
  2. Step 2: Convert to fraction form
    142,649.30/214,009.49 = 42,811.34/x
  3. Step 3: Cross multiply
    142,649.30x = 214,009.49 × 42,811.34
  4. Step 4: Simplify right side
    142,649.30x = 9,162,032,076.60
  5. Step 5: Solve for x
    x = 9,162,032,076.60/142,649.30
  6. Step 6: Final answer
    x = 64,227.67

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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.