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Finding the Fourth Proportional to 162,056.40, 242,566.20 and 149,614.80

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Solution

The fourth proportional to 162,056.40, 242,566.20 and 149,614.80 is: 223,943.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,056.40 : 242,566.20 = 149,614.80 : x
  2. Step 2: Convert to fraction form
    162,056.40/242,566.20 = 149,614.80/x
  3. Step 3: Cross multiply
    162,056.40x = 242,566.20 × 149,614.80
  4. Step 4: Simplify right side
    162,056.40x = 36,291,493,499.76
  5. Step 5: Solve for x
    x = 36,291,493,499.76/162,056.40
  6. Step 6: Final answer
    x = 223,943.60

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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.