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Finding the Fourth Proportional to 230,150.40, 345,020.40 and 89,876.40

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Solution

The fourth proportional to 230,150.40, 345,020.40 and 89,876.40 is: 134,734.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,150.40 : 345,020.40 = 89,876.40 : x
  2. Step 2: Convert to fraction form
    230,150.40/345,020.40 = 89,876.40/x
  3. Step 3: Cross multiply
    230,150.40x = 345,020.40 × 89,876.40
  4. Step 4: Simplify right side
    230,150.40x = 31,009,191,478.56
  5. Step 5: Solve for x
    x = 31,009,191,478.56/230,150.40
  6. Step 6: Final answer
    x = 134,734.47

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1.5x scale

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.