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Finding the Fourth Proportional to 202,291.40, 303,437.10 and 75,931.40

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Solution

The fourth proportional to 202,291.40, 303,437.10 and 75,931.40 is: 113,897.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,291.40 : 303,437.10 = 75,931.40 : x
  2. Step 2: Convert to fraction form
    202,291.40/303,437.10 = 75,931.40/x
  3. Step 3: Cross multiply
    202,291.40x = 303,437.10 × 75,931.40
  4. Step 4: Simplify right side
    202,291.40x = 23,040,403,814.94
  5. Step 5: Solve for x
    x = 23,040,403,814.94/202,291.40
  6. Step 6: Final answer
    x = 113,897.10

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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.