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Finding the Fourth Proportional to 180,816.35, 249,541.35 and 100,269.14

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Solution

The fourth proportional to 180,816.35, 249,541.35 and 100,269.14 is: 138,379.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,816.35 : 249,541.35 = 100,269.14 : x
  2. Step 2: Convert to fraction form
    180,816.35/249,541.35 = 100,269.14/x
  3. Step 3: Cross multiply
    180,816.35x = 249,541.35 × 100,269.14
  4. Step 4: Simplify right side
    180,816.35x = 25,021,296,558.94
  5. Step 5: Solve for x
    x = 25,021,296,558.94/180,816.35
  6. Step 6: Final answer
    x = 138,379.61

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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.