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Finding the Fourth Proportional to 183,566.48, 275,378.52 and 78,386

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Solution

The fourth proportional to 183,566.48, 275,378.52 and 78,386 is: 117,591.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,566.48 : 275,378.52 = 78,386 : x
  2. Step 2: Convert to fraction form
    183,566.48/275,378.52 = 78,386/x
  3. Step 3: Cross multiply
    183,566.48x = 275,378.52 × 78,386
  4. Step 4: Simplify right side
    183,566.48x = 21,585,820,668.72
  5. Step 5: Solve for x
    x = 21,585,820,668.72/183,566.48
  6. Step 6: Final answer
    x = 117,591.30

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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.