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Finding the Fourth Proportional to 175,056.65, 262,601.31 and 135,657.98

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Solution

The fourth proportional to 175,056.65, 262,601.31 and 135,657.98 is: 203,499.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,056.65 : 262,601.31 = 135,657.98 : x
  2. Step 2: Convert to fraction form
    175,056.65/262,601.31 = 135,657.98/x
  3. Step 3: Cross multiply
    175,056.65x = 262,601.31 × 135,657.98
  4. Step 4: Simplify right side
    175,056.65x = 35,623,963,259.95
  5. Step 5: Solve for x
    x = 35,623,963,259.95/175,056.65
  6. Step 6: Final answer
    x = 203,499.63

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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.