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Finding the Fourth Proportional to 223,140.96, 334,681.92 and 82,880.64

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Solution

The fourth proportional to 223,140.96, 334,681.92 and 82,880.64 is: 124,310.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,140.96 : 334,681.92 = 82,880.64 : x
  2. Step 2: Convert to fraction form
    223,140.96/334,681.92 = 82,880.64/x
  3. Step 3: Cross multiply
    223,140.96x = 334,681.92 × 82,880.64
  4. Step 4: Simplify right side
    223,140.96x = 27,738,651,726.03
  5. Step 5: Solve for x
    x = 27,738,651,726.03/223,140.96
  6. Step 6: Final answer
    x = 124,310.00

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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.