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Finding the Fourth Proportional to 274,165.59, 411,113.51 and 96,646.80

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Solution

The fourth proportional to 274,165.59, 411,113.51 and 96,646.80 is: 144,922.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,165.59 : 411,113.51 = 96,646.80 : x
  2. Step 2: Convert to fraction form
    274,165.59/411,113.51 = 96,646.80/x
  3. Step 3: Cross multiply
    274,165.59x = 411,113.51 × 96,646.80
  4. Step 4: Simplify right side
    274,165.59x = 39,732,805,178.27
  5. Step 5: Solve for x
    x = 39,732,805,178.27/274,165.59
  6. Step 6: Final answer
    x = 144,922.65

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Why These Related Problems?

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