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Finding the Fourth Proportional to 180,519.66, 249,119.15 and 99,954.63

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Solution

The fourth proportional to 180,519.66, 249,119.15 and 99,954.63 is: 137,938.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,519.66 : 249,119.15 = 99,954.63 : x
  2. Step 2: Convert to fraction form
    180,519.66/249,119.15 = 99,954.63/x
  3. Step 3: Cross multiply
    180,519.66x = 249,119.15 × 99,954.63
  4. Step 4: Simplify right side
    180,519.66x = 24,900,611,964.39
  5. Step 5: Solve for x
    x = 24,900,611,964.39/180,519.66
  6. Step 6: Final answer
    x = 137,938.50

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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.