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Finding the Fourth Proportional to 180,077.76, 248,509.98 and 99,507.15

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Solution

The fourth proportional to 180,077.76, 248,509.98 and 99,507.15 is: 137,321.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,077.76 : 248,509.98 = 99,507.15 : x
  2. Step 2: Convert to fraction form
    180,077.76/248,509.98 = 99,507.15/x
  3. Step 3: Cross multiply
    180,077.76x = 248,509.98 × 99,507.15
  4. Step 4: Simplify right side
    180,077.76x = 24,728,519,856.36
  5. Step 5: Solve for x
    x = 24,728,519,856.36/180,077.76
  6. Step 6: Final answer
    x = 137,321.34

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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.