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Finding the Fourth Proportional to 202,642.90, 303,964.35 and 186,054.10

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Solution

The fourth proportional to 202,642.90, 303,964.35 and 186,054.10 is: 279,081.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,642.90 : 303,964.35 = 186,054.10 : x
  2. Step 2: Convert to fraction form
    202,642.90/303,964.35 = 186,054.10/x
  3. Step 3: Cross multiply
    202,642.90x = 303,964.35 × 186,054.10
  4. Step 4: Simplify right side
    202,642.90x = 56,553,813,571.34
  5. Step 5: Solve for x
    x = 56,553,813,571.34/202,642.90
  6. Step 6: Final answer
    x = 279,081.15

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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.