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Finding the Fourth Proportional to 161,482.50, 242,262.90 and 50,674.50

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Solution

The fourth proportional to 161,482.50, 242,262.90 and 50,674.50 is: 76,024.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,482.50 : 242,262.90 = 50,674.50 : x
  2. Step 2: Convert to fraction form
    161,482.50/242,262.90 = 50,674.50/x
  3. Step 3: Cross multiply
    161,482.50x = 242,262.90 × 50,674.50
  4. Step 4: Simplify right side
    161,482.50x = 12,276,551,326.05
  5. Step 5: Solve for x
    x = 12,276,551,326.05/161,482.50
  6. Step 6: Final answer
    x = 76,024.04

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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.