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Finding the Fourth Proportional to 171,883.04, 257,814.16 and 102,205.76

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Solution

The fourth proportional to 171,883.04, 257,814.16 and 102,205.76 is: 153,302.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,883.04 : 257,814.16 = 102,205.76 : x
  2. Step 2: Convert to fraction form
    171,883.04/257,814.16 = 102,205.76/x
  3. Step 3: Cross multiply
    171,883.04x = 257,814.16 × 102,205.76
  4. Step 4: Simplify right side
    171,883.04x = 26,350,092,161.56
  5. Step 5: Solve for x
    x = 26,350,092,161.56/171,883.04
  6. Step 6: Final answer
    x = 153,302.46

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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.