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Finding the Fourth Proportional to 219,750.56, 303,254.16 and 119,147.84

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Solution

The fourth proportional to 219,750.56, 303,254.16 and 119,147.84 is: 164,423.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,750.56 : 303,254.16 = 119,147.84 : x
  2. Step 2: Convert to fraction form
    219,750.56/303,254.16 = 119,147.84/x
  3. Step 3: Cross multiply
    219,750.56x = 303,254.16 × 119,147.84
  4. Step 4: Simplify right side
    219,750.56x = 36,132,078,135.01
  5. Step 5: Solve for x
    x = 36,132,078,135.01/219,750.56
  6. Step 6: Final answer
    x = 164,423.14

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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.