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Finding the Fourth Proportional to 142,521.36, 213,844.06 and 89,335.23

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Solution

The fourth proportional to 142,521.36, 213,844.06 and 89,335.23 is: 134,041.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,521.36 : 213,844.06 = 89,335.23 : x
  2. Step 2: Convert to fraction form
    142,521.36/213,844.06 = 89,335.23/x
  3. Step 3: Cross multiply
    142,521.36x = 213,844.06 × 89,335.23
  4. Step 4: Simplify right side
    142,521.36x = 19,103,807,258.98
  5. Step 5: Solve for x
    x = 19,103,807,258.98/142,521.36
  6. Step 6: Final answer
    x = 134,041.72

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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.