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Finding the Fourth Proportional to 289,358.84, 434,038.31 and 120,787.22

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Solution

The fourth proportional to 289,358.84, 434,038.31 and 120,787.22 is: 181,180.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,358.84 : 434,038.31 = 120,787.22 : x
  2. Step 2: Convert to fraction form
    289,358.84/434,038.31 = 120,787.22/x
  3. Step 3: Cross multiply
    289,358.84x = 434,038.31 × 120,787.22
  4. Step 4: Simplify right side
    289,358.84x = 52,426,278,064.27
  5. Step 5: Solve for x
    x = 52,426,278,064.27/289,358.84
  6. Step 6: Final answer
    x = 181,180.84

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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.