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Finding the Fourth Proportional to 194,323.94, 268,290.85 and 158,599.16

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Solution

The fourth proportional to 194,323.94, 268,290.85 and 158,599.16 is: 218,967.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,323.94 : 268,290.85 = 158,599.16 : x
  2. Step 2: Convert to fraction form
    194,323.94/268,290.85 = 158,599.16/x
  3. Step 3: Cross multiply
    194,323.94x = 268,290.85 × 158,599.16
  4. Step 4: Simplify right side
    194,323.94x = 42,550,703,445.69
  5. Step 5: Solve for x
    x = 42,550,703,445.69/194,323.94
  6. Step 6: Final answer
    x = 218,967.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.