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Finding the Fourth Proportional to 142,684.36, 214,037.34 and 42,836.80

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Solution

The fourth proportional to 142,684.36, 214,037.34 and 42,836.80 is: 64,258.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,684.36 : 214,037.34 = 42,836.80 : x
  2. Step 2: Convert to fraction form
    142,684.36/214,037.34 = 42,836.80/x
  3. Step 3: Cross multiply
    142,684.36x = 214,037.34 × 42,836.80
  4. Step 4: Simplify right side
    142,684.36x = 9,168,674,726.11
  5. Step 5: Solve for x
    x = 9,168,674,726.11/142,684.36
  6. Step 6: Final answer
    x = 64,258.44

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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.