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Finding the Fourth Proportional to 208,463.94, 312,714.36 and 58,705.56

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Solution

The fourth proportional to 208,463.94, 312,714.36 and 58,705.56 is: 88,063.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,463.94 : 312,714.36 = 58,705.56 : x
  2. Step 2: Convert to fraction form
    208,463.94/312,714.36 = 58,705.56/x
  3. Step 3: Cross multiply
    208,463.94x = 312,714.36 × 58,705.56
  4. Step 4: Simplify right side
    208,463.94x = 18,358,071,623.84
  5. Step 5: Solve for x
    x = 18,358,071,623.84/208,463.94
  6. Step 6: Final answer
    x = 88,063.54

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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.