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Finding the Fourth Proportional to 229,538.40, 344,294.24 and 103,146

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Solution

The fourth proportional to 229,538.40, 344,294.24 and 103,146 is: 154,713.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,538.40 : 344,294.24 = 103,146 : x
  2. Step 2: Convert to fraction form
    229,538.40/344,294.24 = 103,146/x
  3. Step 3: Cross multiply
    229,538.40x = 344,294.24 × 103,146
  4. Step 4: Simplify right side
    229,538.40x = 35,512,573,679.04
  5. Step 5: Solve for x
    x = 35,512,573,679.04/229,538.40
  6. Step 6: Final answer
    x = 154,713.00

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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.