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Finding the Fourth Proportional to 230,581.68, 345,883.12 and 70,646.16

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Solution

The fourth proportional to 230,581.68, 345,883.12 and 70,646.16 is: 105,972.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,581.68 : 345,883.12 = 70,646.16 : x
  2. Step 2: Convert to fraction form
    230,581.68/345,883.12 = 70,646.16/x
  3. Step 3: Cross multiply
    230,581.68x = 345,883.12 × 70,646.16
  4. Step 4: Simplify right side
    230,581.68x = 24,435,314,236.82
  5. Step 5: Solve for x
    x = 24,435,314,236.82/230,581.68
  6. Step 6: Final answer
    x = 105,972.49

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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.