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Finding the Fourth Proportional to 180,825.96, 249,516.66 and 100,252.68

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Solution

The fourth proportional to 180,825.96, 249,516.66 and 100,252.68 is: 138,335.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,825.96 : 249,516.66 = 100,252.68 : x
  2. Step 2: Convert to fraction form
    180,825.96/249,516.66 = 100,252.68/x
  3. Step 3: Cross multiply
    180,825.96x = 249,516.66 × 100,252.68
  4. Step 4: Simplify right side
    180,825.96x = 25,014,713,869.65
  5. Step 5: Solve for x
    x = 25,014,713,869.65/180,825.96
  6. Step 6: Final answer
    x = 138,335.86

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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.