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Finding the Fourth Proportional to 142,135.32, 213,157.62 and 57,895.32

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Solution

The fourth proportional to 142,135.32, 213,157.62 and 57,895.32 is: 86,824.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,135.32 : 213,157.62 = 57,895.32 : x
  2. Step 2: Convert to fraction form
    142,135.32/213,157.62 = 57,895.32/x
  3. Step 3: Cross multiply
    142,135.32x = 213,157.62 × 57,895.32
  4. Step 4: Simplify right side
    142,135.32x = 12,340,828,620.34
  5. Step 5: Solve for x
    x = 12,340,828,620.34/142,135.32
  6. Step 6: Final answer
    x = 86,824.50

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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.