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Finding the Fourth Proportional to 229,044.88, 343,681.91 and 102,775.40

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Solution

The fourth proportional to 229,044.88, 343,681.91 and 102,775.40 is: 154,214.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,044.88 : 343,681.91 = 102,775.40 : x
  2. Step 2: Convert to fraction form
    229,044.88/343,681.91 = 102,775.40/x
  3. Step 3: Cross multiply
    229,044.88x = 343,681.91 × 102,775.40
  4. Step 4: Simplify right side
    229,044.88x = 35,322,045,214.94
  5. Step 5: Solve for x
    x = 35,322,045,214.94/229,044.88
  6. Step 6: Final answer
    x = 154,214.51

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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.