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Finding the Fourth Proportional to 114,646.87, 171,911.75 and 67,354.35

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Solution

The fourth proportional to 114,646.87, 171,911.75 and 67,354.35 is: 100,997.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,646.87 : 171,911.75 = 67,354.35 : x
  2. Step 2: Convert to fraction form
    114,646.87/171,911.75 = 67,354.35/x
  3. Step 3: Cross multiply
    114,646.87x = 171,911.75 × 67,354.35
  4. Step 4: Simplify right side
    114,646.87x = 11,579,003,319.05
  5. Step 5: Solve for x
    x = 11,579,003,319.05/114,646.87
  6. Step 6: Final answer
    x = 100,997.12

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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.