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Finding the Fourth Proportional to 174,120, 261,179.97 and 114,941.80

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Solution

The fourth proportional to 174,120, 261,179.97 and 114,941.80 is: 172,412.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,120 : 261,179.97 = 114,941.80 : x
  2. Step 2: Convert to fraction form
    174,120/261,179.97 = 114,941.80/x
  3. Step 3: Cross multiply
    174,120x = 261,179.97 × 114,941.80
  4. Step 4: Simplify right side
    174,120x = 30,020,495,875.75
  5. Step 5: Solve for x
    x = 30,020,495,875.75/174,120
  6. Step 6: Final answer
    x = 172,412.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.