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Finding the Fourth Proportional to 156,024, 234,074.88 and 45,216

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Solution

The fourth proportional to 156,024, 234,074.88 and 45,216 is: 67,835.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,024 : 234,074.88 = 45,216 : x
  2. Step 2: Convert to fraction form
    156,024/234,074.88 = 45,216/x
  3. Step 3: Cross multiply
    156,024x = 234,074.88 × 45,216
  4. Step 4: Simplify right side
    156,024x = 10,583,929,774.08
  5. Step 5: Solve for x
    x = 10,583,929,774.08/156,024
  6. Step 6: Final answer
    x = 67,835.27

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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.