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Finding the Fourth Proportional to 172,050.40, 258,075.48 and 53,731.88

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Solution

The fourth proportional to 172,050.40, 258,075.48 and 53,731.88 is: 80,597.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,050.40 : 258,075.48 = 53,731.88 : x
  2. Step 2: Convert to fraction form
    172,050.40/258,075.48 = 53,731.88/x
  3. Step 3: Cross multiply
    172,050.40x = 258,075.48 × 53,731.88
  4. Step 4: Simplify right side
    172,050.40x = 13,866,880,722.30
  5. Step 5: Solve for x
    x = 13,866,880,722.30/172,050.40
  6. Step 6: Final answer
    x = 80,597.78

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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.