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Finding the Fourth Proportional to 159,588.84, 219,934.26 and 119,231.40

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Solution

The fourth proportional to 159,588.84, 219,934.26 and 119,231.40 is: 164,316.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,588.84 : 219,934.26 = 119,231.40 : x
  2. Step 2: Convert to fraction form
    159,588.84/219,934.26 = 119,231.40/x
  3. Step 3: Cross multiply
    159,588.84x = 219,934.26 × 119,231.40
  4. Step 4: Simplify right side
    159,588.84x = 26,223,069,727.76
  5. Step 5: Solve for x
    x = 26,223,069,727.76/159,588.84
  6. Step 6: Final answer
    x = 164,316.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.