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Finding the Fourth Proportional to 147,068.84, 220,247.88 and 83,696.96

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Solution

The fourth proportional to 147,068.84, 220,247.88 and 83,696.96 is: 125,343.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,068.84 : 220,247.88 = 83,696.96 : x
  2. Step 2: Convert to fraction form
    147,068.84/220,247.88 = 83,696.96/x
  3. Step 3: Cross multiply
    147,068.84x = 220,247.88 × 83,696.96
  4. Step 4: Simplify right side
    147,068.84x = 18,434,078,002.44
  5. Step 5: Solve for x
    x = 18,434,078,002.44/147,068.84
  6. Step 6: Final answer
    x = 125,343.19

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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.