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Finding the Fourth Proportional to 202,526.40, 303,716.70 and 102,653.40

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Solution

The fourth proportional to 202,526.40, 303,716.70 and 102,653.40 is: 153,943.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,526.40 : 303,716.70 = 102,653.40 : x
  2. Step 2: Convert to fraction form
    202,526.40/303,716.70 = 102,653.40/x
  3. Step 3: Cross multiply
    202,526.40x = 303,716.70 × 102,653.40
  4. Step 4: Simplify right side
    202,526.40x = 31,177,551,891.78
  5. Step 5: Solve for x
    x = 31,177,551,891.78/202,526.40
  6. Step 6: Final answer
    x = 153,943.15

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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.