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Finding the Fourth Proportional to 180,522.41, 249,122.94 and 99,957.38

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Solution

The fourth proportional to 180,522.41, 249,122.94 and 99,957.38 is: 137,942.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,522.41 : 249,122.94 = 99,957.38 : x
  2. Step 2: Convert to fraction form
    180,522.41/249,122.94 = 99,957.38/x
  3. Step 3: Cross multiply
    180,522.41x = 249,122.94 × 99,957.38
  4. Step 4: Simplify right side
    180,522.41x = 24,901,676,380.30
  5. Step 5: Solve for x
    x = 24,901,676,380.30/180,522.41
  6. Step 6: Final answer
    x = 137,942.30

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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.