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Finding the Fourth Proportional to 271,426.83, 374,763.15 and 180,996

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Solution

The fourth proportional to 271,426.83, 374,763.15 and 180,996 is: 249,903.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,426.83 : 374,763.15 = 180,996 : x
  2. Step 2: Convert to fraction form
    271,426.83/374,763.15 = 180,996/x
  3. Step 3: Cross multiply
    271,426.83x = 374,763.15 × 180,996
  4. Step 4: Simplify right side
    271,426.83x = 67,830,631,097.40
  5. Step 5: Solve for x
    x = 67,830,631,097.40/271,426.83
  6. Step 6: Final answer
    x = 249,903.93

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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.