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Finding the Fourth Proportional to 214,492.44, 296,034.98 and 119,029.90

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Solution

The fourth proportional to 214,492.44, 296,034.98 and 119,029.90 is: 164,280.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,492.44 : 296,034.98 = 119,029.90 : x
  2. Step 2: Convert to fraction form
    214,492.44/296,034.98 = 119,029.90/x
  3. Step 3: Cross multiply
    214,492.44x = 296,034.98 × 119,029.90
  4. Step 4: Simplify right side
    214,492.44x = 35,237,014,065.90
  5. Step 5: Solve for x
    x = 35,237,014,065.90/214,492.44
  6. Step 6: Final answer
    x = 164,280.91

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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.