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Finding the Fourth Proportional to 223,045.20, 334,535.40 and 65,257.20

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Solution

The fourth proportional to 223,045.20, 334,535.40 and 65,257.20 is: 97,876.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,045.20 : 334,535.40 = 65,257.20 : x
  2. Step 2: Convert to fraction form
    223,045.20/334,535.40 = 65,257.20/x
  3. Step 3: Cross multiply
    223,045.20x = 334,535.40 × 65,257.20
  4. Step 4: Simplify right side
    223,045.20x = 21,830,843,504.88
  5. Step 5: Solve for x
    x = 21,830,843,504.88/223,045.20
  6. Step 6: Final answer
    x = 97,876.32

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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.