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Finding the Fourth Proportional to 127,568.64, 191,348.70 and 68,519.64

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Solution

The fourth proportional to 127,568.64, 191,348.70 and 68,519.64 is: 102,777.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,568.64 : 191,348.70 = 68,519.64 : x
  2. Step 2: Convert to fraction form
    127,568.64/191,348.70 = 68,519.64/x
  3. Step 3: Cross multiply
    127,568.64x = 191,348.70 × 68,519.64
  4. Step 4: Simplify right side
    127,568.64x = 13,111,144,038.47
  5. Step 5: Solve for x
    x = 13,111,144,038.47/127,568.64
  6. Step 6: Final answer
    x = 102,777.17

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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.