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Finding the Fourth Proportional to 223,784.72, 335,674.92 and 105,391.28

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Solution

The fourth proportional to 223,784.72, 335,674.92 and 105,391.28 is: 158,085.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,784.72 : 335,674.92 = 105,391.28 : x
  2. Step 2: Convert to fraction form
    223,784.72/335,674.92 = 105,391.28/x
  3. Step 3: Cross multiply
    223,784.72x = 335,674.92 × 105,391.28
  4. Step 4: Simplify right side
    223,784.72x = 35,377,209,482.70
  5. Step 5: Solve for x
    x = 35,377,209,482.70/223,784.72
  6. Step 6: Final answer
    x = 158,085.90

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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.