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Finding the Fourth Proportional to 180,506.82, 249,101.37 and 99,935.67

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Solution

The fourth proportional to 180,506.82, 249,101.37 and 99,935.67 is: 137,912.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,506.82 : 249,101.37 = 99,935.67 : x
  2. Step 2: Convert to fraction form
    180,506.82/249,101.37 = 99,935.67/x
  3. Step 3: Cross multiply
    180,506.82x = 249,101.37 × 99,935.67
  4. Step 4: Simplify right side
    180,506.82x = 24,894,112,308.87
  5. Step 5: Solve for x
    x = 24,894,112,308.87/180,506.82
  6. Step 6: Final answer
    x = 137,912.31

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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.