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Finding the Fourth Proportional to 134,814, 202,244.76 and 46,046.68

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Solution

The fourth proportional to 134,814, 202,244.76 and 46,046.68 is: 69,078.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,814 : 202,244.76 = 46,046.68 : x
  2. Step 2: Convert to fraction form
    134,814/202,244.76 = 46,046.68/x
  3. Step 3: Cross multiply
    134,814x = 202,244.76 × 46,046.68
  4. Step 4: Simplify right side
    134,814x = 9,312,699,745.40
  5. Step 5: Solve for x
    x = 9,312,699,745.40/134,814
  6. Step 6: Final answer
    x = 69,078.14

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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.