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Finding the Fourth Proportional to 200,746, 301,139.16 and 53,002

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Solution

The fourth proportional to 200,746, 301,139.16 and 53,002 is: 79,508.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,746 : 301,139.16 = 53,002 : x
  2. Step 2: Convert to fraction form
    200,746/301,139.16 = 53,002/x
  3. Step 3: Cross multiply
    200,746x = 301,139.16 × 53,002
  4. Step 4: Simplify right side
    200,746x = 15,960,977,758.32
  5. Step 5: Solve for x
    x = 15,960,977,758.32/200,746
  6. Step 6: Final answer
    x = 79,508.32

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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.