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Finding the Fourth Proportional to 180,415.44, 248,973.78 and 99,848.52

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Solution

The fourth proportional to 180,415.44, 248,973.78 and 99,848.52 is: 137,791.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,415.44 : 248,973.78 = 99,848.52 : x
  2. Step 2: Convert to fraction form
    180,415.44/248,973.78 = 99,848.52/x
  3. Step 3: Cross multiply
    180,415.44x = 248,973.78 × 99,848.52
  4. Step 4: Simplify right side
    180,415.44x = 24,859,663,451.81
  5. Step 5: Solve for x
    x = 24,859,663,451.81/180,415.44
  6. Step 6: Final answer
    x = 137,791.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.