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Finding the Fourth Proportional to 202,289.94, 301,896.72 and 179,870.34

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Solution

The fourth proportional to 202,289.94, 301,896.72 and 179,870.34 is: 268,437.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,289.94 : 301,896.72 = 179,870.34 : x
  2. Step 2: Convert to fraction form
    202,289.94/301,896.72 = 179,870.34/x
  3. Step 3: Cross multiply
    202,289.94x = 301,896.72 × 179,870.34
  4. Step 4: Simplify right side
    202,289.94x = 54,302,265,671.28
  5. Step 5: Solve for x
    x = 54,302,265,671.28/202,289.94
  6. Step 6: Final answer
    x = 268,437.80

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Why These Related Problems?

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