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Finding the Fourth Proportional to 105,736.60, 145,878.66 and 60,381.88

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Solution

The fourth proportional to 105,736.60, 145,878.66 and 60,381.88 is: 83,305.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,736.60 : 145,878.66 = 60,381.88 : x
  2. Step 2: Convert to fraction form
    105,736.60/145,878.66 = 60,381.88/x
  3. Step 3: Cross multiply
    105,736.60x = 145,878.66 × 60,381.88
  4. Step 4: Simplify right side
    105,736.60x = 8,808,427,742.68
  5. Step 5: Solve for x
    x = 8,808,427,742.68/105,736.60
  6. Step 6: Final answer
    x = 83,305.38

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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.