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Finding the Fourth Proportional to 223,646.22, 335,354.40 and 65,854.14

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Solution

The fourth proportional to 223,646.22, 335,354.40 and 65,854.14 is: 98,747.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,646.22 : 335,354.40 = 65,854.14 : x
  2. Step 2: Convert to fraction form
    223,646.22/335,354.40 = 65,854.14/x
  3. Step 3: Cross multiply
    223,646.22x = 335,354.40 × 65,854.14
  4. Step 4: Simplify right side
    223,646.22x = 22,084,475,607.22
  5. Step 5: Solve for x
    x = 22,084,475,607.22/223,646.22
  6. Step 6: Final answer
    x = 98,747.37

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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.