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Finding the Fourth Proportional to 114,305.92, 171,722.40 and 109,582.08

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Solution

The fourth proportional to 114,305.92, 171,722.40 and 109,582.08 is: 164,625.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,305.92 : 171,722.40 = 109,582.08 : x
  2. Step 2: Convert to fraction form
    114,305.92/171,722.40 = 109,582.08/x
  3. Step 3: Cross multiply
    114,305.92x = 171,722.40 × 109,582.08
  4. Step 4: Simplify right side
    114,305.92x = 18,817,697,774.59
  5. Step 5: Solve for x
    x = 18,817,697,774.59/114,305.92
  6. Step 6: Final answer
    x = 164,625.75

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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.