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Finding the Fourth Proportional to 114,408.98, 171,638.25 and 46,941.17

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Solution

The fourth proportional to 114,408.98, 171,638.25 and 46,941.17 is: 70,421.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,408.98 : 171,638.25 = 46,941.17 : x
  2. Step 2: Convert to fraction form
    114,408.98/171,638.25 = 46,941.17/x
  3. Step 3: Cross multiply
    114,408.98x = 171,638.25 × 46,941.17
  4. Step 4: Simplify right side
    114,408.98x = 8,056,900,271.75
  5. Step 5: Solve for x
    x = 8,056,900,271.75/114,408.98
  6. Step 6: Final answer
    x = 70,421.92

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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.