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Finding the Fourth Proportional to 134,545, 201,834.24 and 45,791.68

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Solution

The fourth proportional to 134,545, 201,834.24 and 45,791.68 is: 68,693.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,545 : 201,834.24 = 45,791.68 : x
  2. Step 2: Convert to fraction form
    134,545/201,834.24 = 45,791.68/x
  3. Step 3: Cross multiply
    134,545x = 201,834.24 × 45,791.68
  4. Step 4: Simplify right side
    134,545x = 9,242,328,931.12
  5. Step 5: Solve for x
    x = 9,242,328,931.12/134,545
  6. Step 6: Final answer
    x = 68,693.22

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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.