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Finding the Fourth Proportional to 202,176.36, 303,322.86 and 83,825.64

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Solution

The fourth proportional to 202,176.36, 303,322.86 and 83,825.64 is: 125,762.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,176.36 : 303,322.86 = 83,825.64 : x
  2. Step 2: Convert to fraction form
    202,176.36/303,322.86 = 83,825.64/x
  3. Step 3: Cross multiply
    202,176.36x = 303,322.86 × 83,825.64
  4. Step 4: Simplify right side
    202,176.36x = 25,426,232,866.13
  5. Step 5: Solve for x
    x = 25,426,232,866.13/202,176.36
  6. Step 6: Final answer
    x = 125,762.64

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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.