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Finding the Fourth Proportional to 142,783.32, 214,202.01 and 57,400.79

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Solution

The fourth proportional to 142,783.32, 214,202.01 and 57,400.79 is: 86,112.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,783.32 : 214,202.01 = 57,400.79 : x
  2. Step 2: Convert to fraction form
    142,783.32/214,202.01 = 57,400.79/x
  3. Step 3: Cross multiply
    142,783.32x = 214,202.01 × 57,400.79
  4. Step 4: Simplify right side
    142,783.32x = 12,295,363,522.58
  5. Step 5: Solve for x
    x = 12,295,363,522.58/142,783.32
  6. Step 6: Final answer
    x = 86,112.04

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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.