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Finding the Fourth Proportional to 202,191.60, 303,481.80 and 102,464.40

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Solution

The fourth proportional to 202,191.60, 303,481.80 and 102,464.40 is: 153,795.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,191.60 : 303,481.80 = 102,464.40 : x
  2. Step 2: Convert to fraction form
    202,191.60/303,481.80 = 102,464.40/x
  3. Step 3: Cross multiply
    202,191.60x = 303,481.80 × 102,464.40
  4. Step 4: Simplify right side
    202,191.60x = 31,096,080,547.92
  5. Step 5: Solve for x
    x = 31,096,080,547.92/202,191.60
  6. Step 6: Final answer
    x = 153,795.12

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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.