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Finding the Fourth Proportional to 156,047.60, 234,071.40 and 149,486.60

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Solution

The fourth proportional to 156,047.60, 234,071.40 and 149,486.60 is: 224,229.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,047.60 : 234,071.40 = 149,486.60 : x
  2. Step 2: Convert to fraction form
    156,047.60/234,071.40 = 149,486.60/x
  3. Step 3: Cross multiply
    156,047.60x = 234,071.40 × 149,486.60
  4. Step 4: Simplify right side
    156,047.60x = 34,990,537,743.24
  5. Step 5: Solve for x
    x = 34,990,537,743.24/156,047.60
  6. Step 6: Final answer
    x = 224,229.90

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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.