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Finding the Fourth Proportional to 282,374.11, 423,644.01 and 113,807.89

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Solution

The fourth proportional to 282,374.11, 423,644.01 and 113,807.89 is: 170,745.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,374.11 : 423,644.01 = 113,807.89 : x
  2. Step 2: Convert to fraction form
    282,374.11/423,644.01 = 113,807.89/x
  3. Step 3: Cross multiply
    282,374.11x = 423,644.01 × 113,807.89
  4. Step 4: Simplify right side
    282,374.11x = 48,214,030,889.24
  5. Step 5: Solve for x
    x = 48,214,030,889.24/282,374.11
  6. Step 6: Final answer
    x = 170,745.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.