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Finding the Fourth Proportional to 153,606.84, 229,862.82 and 106,231.56

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Solution

The fourth proportional to 153,606.84, 229,862.82 and 106,231.56 is: 158,968.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,606.84 : 229,862.82 = 106,231.56 : x
  2. Step 2: Convert to fraction form
    153,606.84/229,862.82 = 106,231.56/x
  3. Step 3: Cross multiply
    153,606.84x = 229,862.82 × 106,231.56
  4. Step 4: Simplify right side
    153,606.84x = 24,418,685,954.60
  5. Step 5: Solve for x
    x = 24,418,685,954.60/153,606.84
  6. Step 6: Final answer
    x = 158,968.74

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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.