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Finding the Fourth Proportional to 202,283.75, 301,887.49 and 179,864.16

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Solution

The fourth proportional to 202,283.75, 301,887.49 and 179,864.16 is: 268,428.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,283.75 : 301,887.49 = 179,864.16 : x
  2. Step 2: Convert to fraction form
    202,283.75/301,887.49 = 179,864.16/x
  3. Step 3: Cross multiply
    202,283.75x = 301,887.49 × 179,864.16
  4. Step 4: Simplify right side
    202,283.75x = 54,298,739,803.36
  5. Step 5: Solve for x
    x = 54,298,739,803.36/202,283.75
  6. Step 6: Final answer
    x = 268,428.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.