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Finding the Fourth Proportional to 162,055.40, 242,564.70 and 149,613.80

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Solution

The fourth proportional to 162,055.40, 242,564.70 and 149,613.80 is: 223,942.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,055.40 : 242,564.70 = 149,613.80 : x
  2. Step 2: Convert to fraction form
    162,055.40/242,564.70 = 149,613.80/x
  3. Step 3: Cross multiply
    162,055.40x = 242,564.70 × 149,613.80
  4. Step 4: Simplify right side
    162,055.40x = 36,291,026,512.86
  5. Step 5: Solve for x
    x = 36,291,026,512.86/162,055.40
  6. Step 6: Final answer
    x = 223,942.10

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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.