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Finding the Fourth Proportional to 202,391.40, 303,587.10 and 77,735.40

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Solution

The fourth proportional to 202,391.40, 303,587.10 and 77,735.40 is: 116,603.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,391.40 : 303,587.10 = 77,735.40 : x
  2. Step 2: Convert to fraction form
    202,391.40/303,587.10 = 77,735.40/x
  3. Step 3: Cross multiply
    202,391.40x = 303,587.10 × 77,735.40
  4. Step 4: Simplify right side
    202,391.40x = 23,599,464,653.34
  5. Step 5: Solve for x
    x = 23,599,464,653.34/202,391.40
  6. Step 6: Final answer
    x = 116,603.10

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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.