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Finding the Fourth Proportional to 144,895.40, 202,991.80 and 144,895.40

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Solution

The fourth proportional to 144,895.40, 202,991.80 and 144,895.40 is: 202,991.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,895.40 : 202,991.80 = 144,895.40 : x
  2. Step 2: Convert to fraction form
    144,895.40/202,991.80 = 144,895.40/x
  3. Step 3: Cross multiply
    144,895.40x = 202,991.80 × 144,895.40
  4. Step 4: Simplify right side
    144,895.40x = 29,412,578,057.72
  5. Step 5: Solve for x
    x = 29,412,578,057.72/144,895.40
  6. Step 6: Final answer
    x = 202,991.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.