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Finding the Fourth Proportional to 223,044.50, 334,597.95 and 65,284.34

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Solution

The fourth proportional to 223,044.50, 334,597.95 and 65,284.34 is: 97,935.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,044.50 : 334,597.95 = 65,284.34 : x
  2. Step 2: Convert to fraction form
    223,044.50/334,597.95 = 65,284.34/x
  3. Step 3: Cross multiply
    223,044.50x = 334,597.95 × 65,284.34
  4. Step 4: Simplify right side
    223,044.50x = 21,844,006,331.10
  5. Step 5: Solve for x
    x = 21,844,006,331.10/223,044.50
  6. Step 6: Final answer
    x = 97,935.64

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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.