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Finding the Fourth Proportional to 365,566.49, 547,975.87 and 140,838.88

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Solution

The fourth proportional to 365,566.49, 547,975.87 and 140,838.88 is: 211,114.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,566.49 : 547,975.87 = 140,838.88 : x
  2. Step 2: Convert to fraction form
    365,566.49/547,975.87 = 140,838.88/x
  3. Step 3: Cross multiply
    365,566.49x = 547,975.87 × 140,838.88
  4. Step 4: Simplify right side
    365,566.49x = 77,176,306,075.79
  5. Step 5: Solve for x
    x = 77,176,306,075.79/365,566.49
  6. Step 6: Final answer
    x = 211,114.28

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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.