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Finding the Fourth Proportional to 201,582.07, 302,104.37 and 75,094.95

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Solution

The fourth proportional to 201,582.07, 302,104.37 and 75,094.95 is: 112,542.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,582.07 : 302,104.37 = 75,094.95 : x
  2. Step 2: Convert to fraction form
    201,582.07/302,104.37 = 75,094.95/x
  3. Step 3: Cross multiply
    201,582.07x = 302,104.37 × 75,094.95
  4. Step 4: Simplify right side
    201,582.07x = 22,686,512,184.46
  5. Step 5: Solve for x
    x = 22,686,512,184.46/201,582.07
  6. Step 6: Final answer
    x = 112,542.31

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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.