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Finding the Fourth Proportional to 180,461.40, 249,063.43 and 103,965.95

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Solution

The fourth proportional to 180,461.40, 249,063.43 and 103,965.95 is: 143,488.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,461.40 : 249,063.43 = 103,965.95 : x
  2. Step 2: Convert to fraction form
    180,461.40/249,063.43 = 103,965.95/x
  3. Step 3: Cross multiply
    180,461.40x = 249,063.43 × 103,965.95
  4. Step 4: Simplify right side
    180,461.40x = 25,894,114,604.98
  5. Step 5: Solve for x
    x = 25,894,114,604.98/180,461.40
  6. Step 6: Final answer
    x = 143,488.38

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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.