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Finding the Fourth Proportional to 201,888.84, 302,477.87 and 179,897.95

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Solution

The fourth proportional to 201,888.84, 302,477.87 and 179,897.95 is: 269,530.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,888.84 : 302,477.87 = 179,897.95 : x
  2. Step 2: Convert to fraction form
    201,888.84/302,477.87 = 179,897.95/x
  3. Step 3: Cross multiply
    201,888.84x = 302,477.87 × 179,897.95
  4. Step 4: Simplify right side
    201,888.84x = 54,415,148,733.37
  5. Step 5: Solve for x
    x = 54,415,148,733.37/201,888.84
  6. Step 6: Final answer
    x = 269,530.25

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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.