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Finding the Fourth Proportional to 275,553.12, 413,482.77 and 149,191.50

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Solution

The fourth proportional to 275,553.12, 413,482.77 and 149,191.50 is: 223,870.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,553.12 : 413,482.77 = 149,191.50 : x
  2. Step 2: Convert to fraction form
    275,553.12/413,482.77 = 149,191.50/x
  3. Step 3: Cross multiply
    275,553.12x = 413,482.77 × 149,191.50
  4. Step 4: Simplify right side
    275,553.12x = 61,688,114,680.46
  5. Step 5: Solve for x
    x = 61,688,114,680.46/275,553.12
  6. Step 6: Final answer
    x = 223,870.14

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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.