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Finding the Fourth Proportional to 230,113.60, 345,029.60 and 89,710.40

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Solution

The fourth proportional to 230,113.60, 345,029.60 and 89,710.40 is: 134,510.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,113.60 : 345,029.60 = 89,710.40 : x
  2. Step 2: Convert to fraction form
    230,113.60/345,029.60 = 89,710.40/x
  3. Step 3: Cross multiply
    230,113.60x = 345,029.60 × 89,710.40
  4. Step 4: Simplify right side
    230,113.60x = 30,952,743,427.84
  5. Step 5: Solve for x
    x = 30,952,743,427.84/230,113.60
  6. Step 6: Final answer
    x = 134,510.71

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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.