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Finding the Fourth Proportional to 219,975.80, 303,564.84 and 119,373.80

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Solution

The fourth proportional to 219,975.80, 303,564.84 and 119,373.80 is: 164,734.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,975.80 : 303,564.84 = 119,373.80 : x
  2. Step 2: Convert to fraction form
    219,975.80/303,564.84 = 119,373.80/x
  3. Step 3: Cross multiply
    219,975.80x = 303,564.84 × 119,373.80
  4. Step 4: Simplify right side
    219,975.80x = 36,237,688,808.45
  5. Step 5: Solve for x
    x = 36,237,688,808.45/219,975.80
  6. Step 6: Final answer
    x = 164,734.89

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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.