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Finding the Fourth Proportional to 134,166.63, 201,286.24 and 45,420.14

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Solution

The fourth proportional to 134,166.63, 201,286.24 and 45,420.14 is: 68,142.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,166.63 : 201,286.24 = 45,420.14 : x
  2. Step 2: Convert to fraction form
    134,166.63/201,286.24 = 45,420.14/x
  3. Step 3: Cross multiply
    134,166.63x = 201,286.24 × 45,420.14
  4. Step 4: Simplify right side
    134,166.63x = 9,142,448,973.77
  5. Step 5: Solve for x
    x = 9,142,448,973.77/134,166.63
  6. Step 6: Final answer
    x = 68,142.50

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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.