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Finding the Fourth Proportional to 206,817.06, 310,254.72 and 73,657.92

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Solution

The fourth proportional to 206,817.06, 310,254.72 and 73,657.92 is: 110,497.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,817.06 : 310,254.72 = 73,657.92 : x
  2. Step 2: Convert to fraction form
    206,817.06/310,254.72 = 73,657.92/x
  3. Step 3: Cross multiply
    206,817.06x = 310,254.72 × 73,657.92
  4. Step 4: Simplify right side
    206,817.06x = 22,852,717,345.38
  5. Step 5: Solve for x
    x = 22,852,717,345.38/206,817.06
  6. Step 6: Final answer
    x = 110,497.25

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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.