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Finding the Fourth Proportional to 180,705.67, 249,383.78 and 100,131.43

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Solution

The fourth proportional to 180,705.67, 249,383.78 and 100,131.43 is: 138,186.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,705.67 : 249,383.78 = 100,131.43 : x
  2. Step 2: Convert to fraction form
    180,705.67/249,383.78 = 100,131.43/x
  3. Step 3: Cross multiply
    180,705.67x = 249,383.78 × 100,131.43
  4. Step 4: Simplify right side
    180,705.67x = 24,971,154,510.21
  5. Step 5: Solve for x
    x = 24,971,154,510.21/180,705.67
  6. Step 6: Final answer
    x = 138,186.89

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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.