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Finding the Fourth Proportional to 229,137.30, 343,567.89 and 102,754.71

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Solution

The fourth proportional to 229,137.30, 343,567.89 and 102,754.71 is: 154,070.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,137.30 : 343,567.89 = 102,754.71 : x
  2. Step 2: Convert to fraction form
    229,137.30/343,567.89 = 102,754.71/x
  3. Step 3: Cross multiply
    229,137.30x = 343,567.89 × 102,754.71
  4. Step 4: Simplify right side
    229,137.30x = 35,303,218,902.26
  5. Step 5: Solve for x
    x = 35,303,218,902.26/229,137.30
  6. Step 6: Final answer
    x = 154,070.15

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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.