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Finding the Fourth Proportional to 202,143.40, 303,433.80 and 113,569.90

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Solution

The fourth proportional to 202,143.40, 303,433.80 and 113,569.90 is: 170,477.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,143.40 : 303,433.80 = 113,569.90 : x
  2. Step 2: Convert to fraction form
    202,143.40/303,433.80 = 113,569.90/x
  3. Step 3: Cross multiply
    202,143.40x = 303,433.80 × 113,569.90
  4. Step 4: Simplify right side
    202,143.40x = 34,460,946,322.62
  5. Step 5: Solve for x
    x = 34,460,946,322.62/202,143.40
  6. Step 6: Final answer
    x = 170,477.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.