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Finding the Fourth Proportional to 177,907.90, 267,007.65 and 172,075.90

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Solution

The fourth proportional to 177,907.90, 267,007.65 and 172,075.90 is: 258,254.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,907.90 : 267,007.65 = 172,075.90 : x
  2. Step 2: Convert to fraction form
    177,907.90/267,007.65 = 172,075.90/x
  3. Step 3: Cross multiply
    177,907.90x = 267,007.65 × 172,075.90
  4. Step 4: Simplify right side
    177,907.90x = 45,945,581,680.64
  5. Step 5: Solve for x
    x = 45,945,581,680.64/177,907.90
  6. Step 6: Final answer
    x = 258,254.87

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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.