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Finding the Fourth Proportional to 202,335.60, 303,697.80 and 102,608.40

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Solution

The fourth proportional to 202,335.60, 303,697.80 and 102,608.40 is: 154,011.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,335.60 : 303,697.80 = 102,608.40 : x
  2. Step 2: Convert to fraction form
    202,335.60/303,697.80 = 102,608.40/x
  3. Step 3: Cross multiply
    202,335.60x = 303,697.80 × 102,608.40
  4. Step 4: Simplify right side
    202,335.60x = 31,161,945,341.52
  5. Step 5: Solve for x
    x = 31,161,945,341.52/202,335.60
  6. Step 6: Final answer
    x = 154,011.18

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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.