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Finding the Fourth Proportional to 172,703.50, 259,092.30 and 97,859.50

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Solution

The fourth proportional to 172,703.50, 259,092.30 and 97,859.50 is: 146,810.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,703.50 : 259,092.30 = 97,859.50 : x
  2. Step 2: Convert to fraction form
    172,703.50/259,092.30 = 97,859.50/x
  3. Step 3: Cross multiply
    172,703.50x = 259,092.30 × 97,859.50
  4. Step 4: Simplify right side
    172,703.50x = 25,354,642,931.85
  5. Step 5: Solve for x
    x = 25,354,642,931.85/172,703.50
  6. Step 6: Final answer
    x = 146,810.24

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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.