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Finding the Fourth Proportional to 156,978.30, 235,467.45 and 149,597.18

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Solution

The fourth proportional to 156,978.30, 235,467.45 and 149,597.18 is: 224,395.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,978.30 : 235,467.45 = 149,597.18 : x
  2. Step 2: Convert to fraction form
    156,978.30/235,467.45 = 149,597.18/x
  3. Step 3: Cross multiply
    156,978.30x = 235,467.45 × 149,597.18
  4. Step 4: Simplify right side
    156,978.30x = 35,225,265,324.45
  5. Step 5: Solve for x
    x = 35,225,265,324.45/156,978.30
  6. Step 6: Final answer
    x = 224,395.76

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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.