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Finding the Fourth Proportional to 180,527.06, 249,135.12 and 99,954.57

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Solution

The fourth proportional to 180,527.06, 249,135.12 and 99,954.57 is: 137,941.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,527.06 : 249,135.12 = 99,954.57 : x
  2. Step 2: Convert to fraction form
    180,527.06/249,135.12 = 99,954.57/x
  3. Step 3: Cross multiply
    180,527.06x = 249,135.12 × 99,954.57
  4. Step 4: Simplify right side
    180,527.06x = 24,902,193,791.50
  5. Step 5: Solve for x
    x = 24,902,193,791.50/180,527.06
  6. Step 6: Final answer
    x = 137,941.62

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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.