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Finding the Fourth Proportional to 223,078.96, 334,618.43 and 65,307.42

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Solution

The fourth proportional to 223,078.96, 334,618.43 and 65,307.42 is: 97,961.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,078.96 : 334,618.43 = 65,307.42 : x
  2. Step 2: Convert to fraction form
    223,078.96/334,618.43 = 65,307.42/x
  3. Step 3: Cross multiply
    223,078.96x = 334,618.43 × 65,307.42
  4. Step 4: Simplify right side
    223,078.96x = 21,853,066,347.75
  5. Step 5: Solve for x
    x = 21,853,066,347.75/223,078.96
  6. Step 6: Final answer
    x = 97,961.13

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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.