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Finding the Fourth Proportional to 172,031.40, 258,047.10 and 145,852.20

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Solution

The fourth proportional to 172,031.40, 258,047.10 and 145,852.20 is: 218,778.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,031.40 : 258,047.10 = 145,852.20 : x
  2. Step 2: Convert to fraction form
    172,031.40/258,047.10 = 145,852.20/x
  3. Step 3: Cross multiply
    172,031.40x = 258,047.10 × 145,852.20
  4. Step 4: Simplify right side
    172,031.40x = 37,636,737,238.62
  5. Step 5: Solve for x
    x = 37,636,737,238.62/172,031.40
  6. Step 6: Final answer
    x = 218,778.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.