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Finding the Fourth Proportional to 282,094.32, 389,187.99 and 185,350.28

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Solution

The fourth proportional to 282,094.32, 389,187.99 and 185,350.28 is: 255,716.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,094.32 : 389,187.99 = 185,350.28 : x
  2. Step 2: Convert to fraction form
    282,094.32/389,187.99 = 185,350.28/x
  3. Step 3: Cross multiply
    282,094.32x = 389,187.99 × 185,350.28
  4. Step 4: Simplify right side
    282,094.32x = 72,136,102,919.14
  5. Step 5: Solve for x
    x = 72,136,102,919.14/282,094.32
  6. Step 6: Final answer
    x = 255,716.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.