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Finding the Fourth Proportional to 193,661.91, 290,492.65 and 67,302.17

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Solution

The fourth proportional to 193,661.91, 290,492.65 and 67,302.17 is: 100,953.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,661.91 : 290,492.65 = 67,302.17 : x
  2. Step 2: Convert to fraction form
    193,661.91/290,492.65 = 67,302.17/x
  3. Step 3: Cross multiply
    193,661.91x = 290,492.65 × 67,302.17
  4. Step 4: Simplify right side
    193,661.91x = 19,550,785,714.05
  5. Step 5: Solve for x
    x = 19,550,785,714.05/193,661.91
  6. Step 6: Final answer
    x = 100,953.18

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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.