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Finding the Fourth Proportional to 172,602.10, 258,903.15 and 54,309.70

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Solution

The fourth proportional to 172,602.10, 258,903.15 and 54,309.70 is: 81,464.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,602.10 : 258,903.15 = 54,309.70 : x
  2. Step 2: Convert to fraction form
    172,602.10/258,903.15 = 54,309.70/x
  3. Step 3: Cross multiply
    172,602.10x = 258,903.15 × 54,309.70
  4. Step 4: Simplify right side
    172,602.10x = 14,060,952,405.56
  5. Step 5: Solve for x
    x = 14,060,952,405.56/172,602.10
  6. Step 6: Final answer
    x = 81,464.55

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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.