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Finding the Fourth Proportional to 180,993.92, 249,918.36 and 113,090

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Solution

The fourth proportional to 180,993.92, 249,918.36 and 113,090 is: 156,155.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,993.92 : 249,918.36 = 113,090 : x
  2. Step 2: Convert to fraction form
    180,993.92/249,918.36 = 113,090/x
  3. Step 3: Cross multiply
    180,993.92x = 249,918.36 × 113,090
  4. Step 4: Simplify right side
    180,993.92x = 28,263,267,332.40
  5. Step 5: Solve for x
    x = 28,263,267,332.40/180,993.92
  6. Step 6: Final answer
    x = 156,155.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.