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Finding the Fourth Proportional to 180,893.50, 249,648.37 and 100,346.98

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Solution

The fourth proportional to 180,893.50, 249,648.37 and 100,346.98 is: 138,487.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,893.50 : 249,648.37 = 100,346.98 : x
  2. Step 2: Convert to fraction form
    180,893.50/249,648.37 = 100,346.98/x
  3. Step 3: Cross multiply
    180,893.50x = 249,648.37 × 100,346.98
  4. Step 4: Simplify right side
    180,893.50x = 25,051,458,741.28
  5. Step 5: Solve for x
    x = 25,051,458,741.28/180,893.50
  6. Step 6: Final answer
    x = 138,487.33

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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.