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Finding the Fourth Proportional to 274,193.90, 411,420.45 and 116,557.10

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Solution

The fourth proportional to 274,193.90, 411,420.45 and 116,557.10 is: 174,890.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,193.90 : 411,420.45 = 116,557.10 : x
  2. Step 2: Convert to fraction form
    274,193.90/411,420.45 = 116,557.10/x
  3. Step 3: Cross multiply
    274,193.90x = 411,420.45 × 116,557.10
  4. Step 4: Simplify right side
    274,193.90x = 47,953,974,532.70
  5. Step 5: Solve for x
    x = 47,953,974,532.70/274,193.90
  6. Step 6: Final answer
    x = 174,890.74

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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.