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Finding the Fourth Proportional to 223,044, 334,597.20 and 65,283.84

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Solution

The fourth proportional to 223,044, 334,597.20 and 65,283.84 is: 97,934.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,044 : 334,597.20 = 65,283.84 : x
  2. Step 2: Convert to fraction form
    223,044/334,597.20 = 65,283.84/x
  3. Step 3: Cross multiply
    223,044x = 334,597.20 × 65,283.84
  4. Step 4: Simplify right side
    223,044x = 21,843,790,069.25
  5. Step 5: Solve for x
    x = 21,843,790,069.25/223,044
  6. Step 6: Final answer
    x = 97,934.89

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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.