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Finding the Fourth Proportional to 223,632.90, 335,450.16 and 83,389.50

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Solution

The fourth proportional to 223,632.90, 335,450.16 and 83,389.50 is: 125,084.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,632.90 : 335,450.16 = 83,389.50 : x
  2. Step 2: Convert to fraction form
    223,632.90/335,450.16 = 83,389.50/x
  3. Step 3: Cross multiply
    223,632.90x = 335,450.16 × 83,389.50
  4. Step 4: Simplify right side
    223,632.90x = 27,973,021,117.32
  5. Step 5: Solve for x
    x = 27,973,021,117.32/223,632.90
  6. Step 6: Final answer
    x = 125,084.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.