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Finding the Fourth Proportional to 224,334, 336,650.64 and 116,362.88

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Solution

The fourth proportional to 224,334, 336,650.64 and 116,362.88 is: 174,621.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,334 : 336,650.64 = 116,362.88 : x
  2. Step 2: Convert to fraction form
    224,334/336,650.64 = 116,362.88/x
  3. Step 3: Cross multiply
    224,334x = 336,650.64 × 116,362.88
  4. Step 4: Simplify right side
    224,334x = 39,173,638,024.24
  5. Step 5: Solve for x
    x = 39,173,638,024.24/224,334
  6. Step 6: Final answer
    x = 174,621.94

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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.