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Finding the Fourth Proportional to 305,042.90, 457,636.98 and 105,364.94

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Solution

The fourth proportional to 305,042.90, 457,636.98 and 105,364.94 is: 158,072.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,042.90 : 457,636.98 = 105,364.94 : x
  2. Step 2: Convert to fraction form
    305,042.90/457,636.98 = 105,364.94/x
  3. Step 3: Cross multiply
    305,042.90x = 457,636.98 × 105,364.94
  4. Step 4: Simplify right side
    305,042.90x = 48,218,892,939.48
  5. Step 5: Solve for x
    x = 48,218,892,939.48/305,042.90
  6. Step 6: Final answer
    x = 158,072.50

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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.