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Finding the Fourth Proportional to 202,429.10, 303,497.85 and 113,709.80

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Solution

The fourth proportional to 202,429.10, 303,497.85 and 113,709.80 is: 170,482.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,429.10 : 303,497.85 = 113,709.80 : x
  2. Step 2: Convert to fraction form
    202,429.10/303,497.85 = 113,709.80/x
  3. Step 3: Cross multiply
    202,429.10x = 303,497.85 × 113,709.80
  4. Step 4: Simplify right side
    202,429.10x = 34,510,679,823.93
  5. Step 5: Solve for x
    x = 34,510,679,823.93/202,429.10
  6. Step 6: Final answer
    x = 170,482.80

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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.