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Finding the Fourth Proportional to 201,145.04, 301,756.44 and 68,046.92

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Solution

The fourth proportional to 201,145.04, 301,756.44 and 68,046.92 is: 102,083.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,145.04 : 301,756.44 = 68,046.92 : x
  2. Step 2: Convert to fraction form
    201,145.04/301,756.44 = 68,046.92/x
  3. Step 3: Cross multiply
    201,145.04x = 301,756.44 × 68,046.92
  4. Step 4: Simplify right side
    201,145.04x = 20,533,596,332.16
  5. Step 5: Solve for x
    x = 20,533,596,332.16/201,145.04
  6. Step 6: Final answer
    x = 102,083.53

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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.