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Finding the Fourth Proportional to 202,088.46, 303,395.13 and 155,374.14

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Solution

The fourth proportional to 202,088.46, 303,395.13 and 155,374.14 is: 233,262.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,088.46 : 303,395.13 = 155,374.14 : x
  2. Step 2: Convert to fraction form
    202,088.46/303,395.13 = 155,374.14/x
  3. Step 3: Cross multiply
    202,088.46x = 303,395.13 × 155,374.14
  4. Step 4: Simplify right side
    202,088.46x = 47,139,757,403.94
  5. Step 5: Solve for x
    x = 47,139,757,403.94/202,088.46
  6. Step 6: Final answer
    x = 233,262.98

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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.