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Finding the Fourth Proportional to 202,275.70, 303,741.60 and 146,507.20

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Solution

The fourth proportional to 202,275.70, 303,741.60 and 146,507.20 is: 219,998.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,275.70 : 303,741.60 = 146,507.20 : x
  2. Step 2: Convert to fraction form
    202,275.70/303,741.60 = 146,507.20/x
  3. Step 3: Cross multiply
    202,275.70x = 303,741.60 × 146,507.20
  4. Step 4: Simplify right side
    202,275.70x = 44,500,331,339.52
  5. Step 5: Solve for x
    x = 44,500,331,339.52/202,275.70
  6. Step 6: Final answer
    x = 219,998.40

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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.