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Finding the Fourth Proportional to 135,712.06, 187,283.68 and 74,457.84

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Solution

The fourth proportional to 135,712.06, 187,283.68 and 74,457.84 is: 102,752.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,712.06 : 187,283.68 = 74,457.84 : x
  2. Step 2: Convert to fraction form
    135,712.06/187,283.68 = 74,457.84/x
  3. Step 3: Cross multiply
    135,712.06x = 187,283.68 × 74,457.84
  4. Step 4: Simplify right side
    135,712.06x = 13,944,738,280.05
  5. Step 5: Solve for x
    x = 13,944,738,280.05/135,712.06
  6. Step 6: Final answer
    x = 102,752.39

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Why These Related Problems?

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