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Finding the Fourth Proportional to 202,914, 280,022.28 and 113,490

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Solution

The fourth proportional to 202,914, 280,022.28 and 113,490 is: 156,616.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,914 : 280,022.28 = 113,490 : x
  2. Step 2: Convert to fraction form
    202,914/280,022.28 = 113,490/x
  3. Step 3: Cross multiply
    202,914x = 280,022.28 × 113,490
  4. Step 4: Simplify right side
    202,914x = 31,779,728,557.20
  5. Step 5: Solve for x
    x = 31,779,728,557.20/202,914
  6. Step 6: Final answer
    x = 156,616.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.