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Finding the Fourth Proportional to 180,100.16, 248,536.64 and 99,533.12

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Solution

The fourth proportional to 180,100.16, 248,536.64 and 99,533.12 is: 137,354.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,100.16 : 248,536.64 = 99,533.12 : x
  2. Step 2: Convert to fraction form
    180,100.16/248,536.64 = 99,533.12/x
  3. Step 3: Cross multiply
    180,100.16x = 248,536.64 × 99,533.12
  4. Step 4: Simplify right side
    180,100.16x = 24,737,627,213.52
  5. Step 5: Solve for x
    x = 24,737,627,213.52/180,100.16
  6. Step 6: Final answer
    x = 137,354.83

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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.