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Finding the Fourth Proportional to 224,492.22, 309,798.63 and 123,889.50

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Solution

The fourth proportional to 224,492.22, 309,798.63 and 123,889.50 is: 170,967.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,492.22 : 309,798.63 = 123,889.50 : x
  2. Step 2: Convert to fraction form
    224,492.22/309,798.63 = 123,889.50/x
  3. Step 3: Cross multiply
    224,492.22x = 309,798.63 × 123,889.50
  4. Step 4: Simplify right side
    224,492.22x = 38,380,797,371.39
  5. Step 5: Solve for x
    x = 38,380,797,371.39/224,492.22
  6. Step 6: Final answer
    x = 170,967.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.