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Finding the Fourth Proportional to 202,046.40, 303,069.60 and 154,807.20

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Solution

The fourth proportional to 202,046.40, 303,069.60 and 154,807.20 is: 232,210.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,046.40 : 303,069.60 = 154,807.20 : x
  2. Step 2: Convert to fraction form
    202,046.40/303,069.60 = 154,807.20/x
  3. Step 3: Cross multiply
    202,046.40x = 303,069.60 × 154,807.20
  4. Step 4: Simplify right side
    202,046.40x = 46,917,356,181.12
  5. Step 5: Solve for x
    x = 46,917,356,181.12/202,046.40
  6. Step 6: Final answer
    x = 232,210.80

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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.