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Finding the Fourth Proportional to 145,525.74, 200,824.74 and 81,864

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Solution

The fourth proportional to 145,525.74, 200,824.74 and 81,864 is: 112,971.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,525.74 : 200,824.74 = 81,864 : x
  2. Step 2: Convert to fraction form
    145,525.74/200,824.74 = 81,864/x
  3. Step 3: Cross multiply
    145,525.74x = 200,824.74 × 81,864
  4. Step 4: Simplify right side
    145,525.74x = 16,440,316,515.36
  5. Step 5: Solve for x
    x = 16,440,316,515.36/145,525.74
  6. Step 6: Final answer
    x = 112,971.88

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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.