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Finding the Fourth Proportional to 180,451.44, 249,023.48 and 99,884.52

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Solution

The fourth proportional to 180,451.44, 249,023.48 and 99,884.52 is: 137,840.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,451.44 : 249,023.48 = 99,884.52 : x
  2. Step 2: Convert to fraction form
    180,451.44/249,023.48 = 99,884.52/x
  3. Step 3: Cross multiply
    180,451.44x = 249,023.48 × 99,884.52
  4. Step 4: Simplify right side
    180,451.44x = 24,873,590,768.53
  5. Step 5: Solve for x
    x = 24,873,590,768.53/180,451.44
  6. Step 6: Final answer
    x = 137,840.91

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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.