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Finding the Fourth Proportional to 162,041.40, 242,543.70 and 149,599.80

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Solution

The fourth proportional to 162,041.40, 242,543.70 and 149,599.80 is: 223,921.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,041.40 : 242,543.70 = 149,599.80 : x
  2. Step 2: Convert to fraction form
    162,041.40/242,543.70 = 149,599.80/x
  3. Step 3: Cross multiply
    162,041.40x = 242,543.70 × 149,599.80
  4. Step 4: Simplify right side
    162,041.40x = 36,284,489,011.26
  5. Step 5: Solve for x
    x = 36,284,489,011.26/162,041.40
  6. Step 6: Final answer
    x = 223,921.10

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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.