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Finding the Fourth Proportional to 180,690, 249,352.20 and 101,202

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Solution

The fourth proportional to 180,690, 249,352.20 and 101,202 is: 139,658.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,690 : 249,352.20 = 101,202 : x
  2. Step 2: Convert to fraction form
    180,690/249,352.20 = 101,202/x
  3. Step 3: Cross multiply
    180,690x = 249,352.20 × 101,202
  4. Step 4: Simplify right side
    180,690x = 25,234,941,344.40
  5. Step 5: Solve for x
    x = 25,234,941,344.40/180,690
  6. Step 6: Final answer
    x = 139,658.76

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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.