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Finding the Fourth Proportional to 201,882.82, 278,582.08 and 117,005.36

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Solution

The fourth proportional to 201,882.82, 278,582.08 and 117,005.36 is: 161,458.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,882.82 : 278,582.08 = 117,005.36 : x
  2. Step 2: Convert to fraction form
    201,882.82/278,582.08 = 117,005.36/x
  3. Step 3: Cross multiply
    201,882.82x = 278,582.08 × 117,005.36
  4. Step 4: Simplify right side
    201,882.82x = 32,595,596,559.95
  5. Step 5: Solve for x
    x = 32,595,596,559.95/201,882.82
  6. Step 6: Final answer
    x = 161,458.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.