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Finding the Fourth Proportional to 214,890.48, 322,483.79 and 74,649.11

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Solution

The fourth proportional to 214,890.48, 322,483.79 and 74,649.11 is: 112,025.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,890.48 : 322,483.79 = 74,649.11 : x
  2. Step 2: Convert to fraction form
    214,890.48/322,483.79 = 74,649.11/x
  3. Step 3: Cross multiply
    214,890.48x = 322,483.79 × 74,649.11
  4. Step 4: Simplify right side
    214,890.48x = 24,073,126,487.13
  5. Step 5: Solve for x
    x = 24,073,126,487.13/214,890.48
  6. Step 6: Final answer
    x = 112,025.10

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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.