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Finding the Fourth Proportional to 233,690, 322,492.20 and 126,260.06

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Solution

The fourth proportional to 233,690, 322,492.20 and 126,260.06 is: 174,238.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,690 : 322,492.20 = 126,260.06 : x
  2. Step 2: Convert to fraction form
    233,690/322,492.20 = 126,260.06/x
  3. Step 3: Cross multiply
    233,690x = 322,492.20 × 126,260.06
  4. Step 4: Simplify right side
    233,690x = 40,717,884,521.53
  5. Step 5: Solve for x
    x = 40,717,884,521.53/233,690
  6. Step 6: Final answer
    x = 174,238.88

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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.