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Finding the Fourth Proportional to 162,416.80, 243,625.20 and 149,975.20

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Solution

The fourth proportional to 162,416.80, 243,625.20 and 149,975.20 is: 224,962.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,416.80 : 243,625.20 = 149,975.20 : x
  2. Step 2: Convert to fraction form
    162,416.80/243,625.20 = 149,975.20/x
  3. Step 3: Cross multiply
    162,416.80x = 243,625.20 × 149,975.20
  4. Step 4: Simplify right side
    162,416.80x = 36,537,738,095.04
  5. Step 5: Solve for x
    x = 36,537,738,095.04/162,416.80
  6. Step 6: Final answer
    x = 224,962.80

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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.