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Finding the Fourth Proportional to 223,713.60, 334,792.80 and 205,051.20

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Solution

The fourth proportional to 223,713.60, 334,792.80 and 205,051.20 is: 306,864.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,713.60 : 334,792.80 = 205,051.20 : x
  2. Step 2: Convert to fraction form
    223,713.60/334,792.80 = 205,051.20/x
  3. Step 3: Cross multiply
    223,713.60x = 334,792.80 × 205,051.20
  4. Step 4: Simplify right side
    223,713.60x = 68,649,665,391.36
  5. Step 5: Solve for x
    x = 68,649,665,391.36/223,713.60
  6. Step 6: Final answer
    x = 306,864.07

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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.