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Finding the Fourth Proportional to 180,732.15, 249,411.78 and 100,161

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Solution

The fourth proportional to 180,732.15, 249,411.78 and 100,161 is: 138,222.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,732.15 : 249,411.78 = 100,161 : x
  2. Step 2: Convert to fraction form
    180,732.15/249,411.78 = 100,161/x
  3. Step 3: Cross multiply
    180,732.15x = 249,411.78 × 100,161
  4. Step 4: Simplify right side
    180,732.15x = 24,981,333,296.58
  5. Step 5: Solve for x
    x = 24,981,333,296.58/180,732.15
  6. Step 6: Final answer
    x = 138,222.96

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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.