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Finding the Fourth Proportional to 360,059.84, 540,098.40 and 110,744

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Solution

The fourth proportional to 360,059.84, 540,098.40 and 110,744 is: 166,118.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,059.84 : 540,098.40 = 110,744 : x
  2. Step 2: Convert to fraction form
    360,059.84/540,098.40 = 110,744/x
  3. Step 3: Cross multiply
    360,059.84x = 540,098.40 × 110,744
  4. Step 4: Simplify right side
    360,059.84x = 59,812,657,209.60
  5. Step 5: Solve for x
    x = 59,812,657,209.60/360,059.84
  6. Step 6: Final answer
    x = 166,118.66

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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.