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Finding the Fourth Proportional to 202,365.64, 303,563.16 and 77,706.64

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Solution

The fourth proportional to 202,365.64, 303,563.16 and 77,706.64 is: 116,565.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,365.64 : 303,563.16 = 77,706.64 : x
  2. Step 2: Convert to fraction form
    202,365.64/303,563.16 = 77,706.64/x
  3. Step 3: Cross multiply
    202,365.64x = 303,563.16 × 77,706.64
  4. Step 4: Simplify right side
    202,365.64x = 23,588,873,191.38
  5. Step 5: Solve for x
    x = 23,588,873,191.38/202,365.64
  6. Step 6: Final answer
    x = 116,565.60

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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.