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Finding the Fourth Proportional to 229,698.48, 344,573.64 and 105,006

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Solution

The fourth proportional to 229,698.48, 344,573.64 and 105,006 is: 157,520.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,698.48 : 344,573.64 = 105,006 : x
  2. Step 2: Convert to fraction form
    229,698.48/344,573.64 = 105,006/x
  3. Step 3: Cross multiply
    229,698.48x = 344,573.64 × 105,006
  4. Step 4: Simplify right side
    229,698.48x = 36,182,299,641.84
  5. Step 5: Solve for x
    x = 36,182,299,641.84/229,698.48
  6. Step 6: Final answer
    x = 157,520.85

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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.