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Finding the Fourth Proportional to 159,683.78, 239,547.54 and 54,474.50

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Solution

The fourth proportional to 159,683.78, 239,547.54 and 54,474.50 is: 81,719.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,683.78 : 239,547.54 = 54,474.50 : x
  2. Step 2: Convert to fraction form
    159,683.78/239,547.54 = 54,474.50/x
  3. Step 3: Cross multiply
    159,683.78x = 239,547.54 × 54,474.50
  4. Step 4: Simplify right side
    159,683.78x = 13,049,232,467.73
  5. Step 5: Solve for x
    x = 13,049,232,467.73/159,683.78
  6. Step 6: Final answer
    x = 81,719.21

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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.