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Finding the Fourth Proportional to 223,894.87, 335,973.53 and 160,646.83

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Solution

The fourth proportional to 223,894.87, 335,973.53 and 160,646.83 is: 241,064.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,894.87 : 335,973.53 = 160,646.83 : x
  2. Step 2: Convert to fraction form
    223,894.87/335,973.53 = 160,646.83/x
  3. Step 3: Cross multiply
    223,894.87x = 335,973.53 × 160,646.83
  4. Step 4: Simplify right side
    223,894.87x = 53,973,082,558.41
  5. Step 5: Solve for x
    x = 53,973,082,558.41/223,894.87
  6. Step 6: Final answer
    x = 241,064.40

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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.