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Finding the Fourth Proportional to 229,503.31, 344,254.48 and 61,023.65

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Solution

The fourth proportional to 229,503.31, 344,254.48 and 61,023.65 is: 91,535.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,503.31 : 344,254.48 = 61,023.65 : x
  2. Step 2: Convert to fraction form
    229,503.31/344,254.48 = 61,023.65/x
  3. Step 3: Cross multiply
    229,503.31x = 344,254.48 × 61,023.65
  4. Step 4: Simplify right side
    229,503.31x = 21,007,663,024.62
  5. Step 5: Solve for x
    x = 21,007,663,024.62/229,503.31
  6. Step 6: Final answer
    x = 91,535.34

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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.