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Finding the Fourth Proportional to 116,116.84, 174,235.20 and 49,539.10

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Solution

The fourth proportional to 116,116.84, 174,235.20 and 49,539.10 is: 74,334.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,116.84 : 174,235.20 = 49,539.10 : x
  2. Step 2: Convert to fraction form
    116,116.84/174,235.20 = 49,539.10/x
  3. Step 3: Cross multiply
    116,116.84x = 174,235.20 × 49,539.10
  4. Step 4: Simplify right side
    116,116.84x = 8,631,454,996.32
  5. Step 5: Solve for x
    x = 8,631,454,996.32/116,116.84
  6. Step 6: Final answer
    x = 74,334.22

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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.