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Finding the Fourth Proportional to 177,277.50, 265,767.12 and 82,459.53

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Solution

The fourth proportional to 177,277.50, 265,767.12 and 82,459.53 is: 123,619.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,277.50 : 265,767.12 = 82,459.53 : x
  2. Step 2: Convert to fraction form
    177,277.50/265,767.12 = 82,459.53/x
  3. Step 3: Cross multiply
    177,277.50x = 265,767.12 × 82,459.53
  4. Step 4: Simplify right side
    177,277.50x = 21,915,031,804.65
  5. Step 5: Solve for x
    x = 21,915,031,804.65/177,277.50
  6. Step 6: Final answer
    x = 123,619.93

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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.