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Finding the Fourth Proportional to 200,897.20, 301,515.90 and 82,653.40

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Solution

The fourth proportional to 200,897.20, 301,515.90 and 82,653.40 is: 124,050.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,897.20 : 301,515.90 = 82,653.40 : x
  2. Step 2: Convert to fraction form
    200,897.20/301,515.90 = 82,653.40/x
  3. Step 3: Cross multiply
    200,897.20x = 301,515.90 × 82,653.40
  4. Step 4: Simplify right side
    200,897.20x = 24,921,314,289.06
  5. Step 5: Solve for x
    x = 24,921,314,289.06/200,897.20
  6. Step 6: Final answer
    x = 124,050.08

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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.