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Finding the Fourth Proportional to 127,264.16, 175,629.84 and 70,676

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Solution

The fourth proportional to 127,264.16, 175,629.84 and 70,676 is: 97,535.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,264.16 : 175,629.84 = 70,676 : x
  2. Step 2: Convert to fraction form
    127,264.16/175,629.84 = 70,676/x
  3. Step 3: Cross multiply
    127,264.16x = 175,629.84 × 70,676
  4. Step 4: Simplify right side
    127,264.16x = 12,412,814,571.84
  5. Step 5: Solve for x
    x = 12,412,814,571.84/127,264.16
  6. Step 6: Final answer
    x = 97,535.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.