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Finding the Fourth Proportional to 223,330.70, 334,880.85 and 83,017.10

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Solution

The fourth proportional to 223,330.70, 334,880.85 and 83,017.10 is: 124,482.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,330.70 : 334,880.85 = 83,017.10 : x
  2. Step 2: Convert to fraction form
    223,330.70/334,880.85 = 83,017.10/x
  3. Step 3: Cross multiply
    223,330.70x = 334,880.85 × 83,017.10
  4. Step 4: Simplify right side
    223,330.70x = 27,800,837,012.54
  5. Step 5: Solve for x
    x = 27,800,837,012.54/223,330.70
  6. Step 6: Final answer
    x = 124,482.83

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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.