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Finding the Fourth Proportional to 156,333.24, 234,497.76 and 38,004.24

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Solution

The fourth proportional to 156,333.24, 234,497.76 and 38,004.24 is: 57,005.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,333.24 : 234,497.76 = 38,004.24 : x
  2. Step 2: Convert to fraction form
    156,333.24/234,497.76 = 38,004.24/x
  3. Step 3: Cross multiply
    156,333.24x = 234,497.76 × 38,004.24
  4. Step 4: Simplify right side
    156,333.24x = 8,911,909,150.50
  5. Step 5: Solve for x
    x = 8,911,909,150.50/156,333.24
  6. Step 6: Final answer
    x = 57,005.85

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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.