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Finding the Fourth Proportional to 282,853.68, 424,398.02 and 114,493.02

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Solution

The fourth proportional to 282,853.68, 424,398.02 and 114,493.02 is: 171,787.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,853.68 : 424,398.02 = 114,493.02 : x
  2. Step 2: Convert to fraction form
    282,853.68/424,398.02 = 114,493.02/x
  3. Step 3: Cross multiply
    282,853.68x = 424,398.02 × 114,493.02
  4. Step 4: Simplify right side
    282,853.68x = 48,590,610,991.82
  5. Step 5: Solve for x
    x = 48,590,610,991.82/282,853.68
  6. Step 6: Final answer
    x = 171,787.09

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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.