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Finding the Fourth Proportional to 180,456, 249,031.49 and 99,891.03

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Solution

The fourth proportional to 180,456, 249,031.49 and 99,891.03 is: 137,850.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,456 : 249,031.49 = 99,891.03 : x
  2. Step 2: Convert to fraction form
    180,456/249,031.49 = 99,891.03/x
  3. Step 3: Cross multiply
    180,456x = 249,031.49 × 99,891.03
  4. Step 4: Simplify right side
    180,456x = 24,876,012,038.53
  5. Step 5: Solve for x
    x = 24,876,012,038.53/180,456
  6. Step 6: Final answer
    x = 137,850.84

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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.