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Finding the Fourth Proportional to 194,708, 268,726.20 and 119,300.24

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Solution

The fourth proportional to 194,708, 268,726.20 and 119,300.24 is: 164,652.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,708 : 268,726.20 = 119,300.24 : x
  2. Step 2: Convert to fraction form
    194,708/268,726.20 = 119,300.24/x
  3. Step 3: Cross multiply
    194,708x = 268,726.20 × 119,300.24
  4. Step 4: Simplify right side
    194,708x = 32,059,100,154.29
  5. Step 5: Solve for x
    x = 32,059,100,154.29/194,708
  6. Step 6: Final answer
    x = 164,652.20

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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.