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Finding the Fourth Proportional to 223,643.79, 335,538.59 and 105,327.09

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Solution

The fourth proportional to 223,643.79, 335,538.59 and 105,327.09 is: 158,024.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,643.79 : 335,538.59 = 105,327.09 : x
  2. Step 2: Convert to fraction form
    223,643.79/335,538.59 = 105,327.09/x
  3. Step 3: Cross multiply
    223,643.79x = 335,538.59 × 105,327.09
  4. Step 4: Simplify right side
    223,643.79x = 35,341,303,267.40
  5. Step 5: Solve for x
    x = 35,341,303,267.40/223,643.79
  6. Step 6: Final answer
    x = 158,024.97

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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.