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Finding the Fourth Proportional to 177,048.52, 265,571.88 and 102,120.12

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Solution

The fourth proportional to 177,048.52, 265,571.88 and 102,120.12 is: 153,179.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,048.52 : 265,571.88 = 102,120.12 : x
  2. Step 2: Convert to fraction form
    177,048.52/265,571.88 = 102,120.12/x
  3. Step 3: Cross multiply
    177,048.52x = 265,571.88 × 102,120.12
  4. Step 4: Simplify right side
    177,048.52x = 27,120,232,254.23
  5. Step 5: Solve for x
    x = 27,120,232,254.23/177,048.52
  6. Step 6: Final answer
    x = 153,179.66

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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.