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Finding the Fourth Proportional to 284,798.16, 427,226.40 and 107,454.33

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Solution

The fourth proportional to 284,798.16, 427,226.40 and 107,454.33 is: 161,192.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,798.16 : 427,226.40 = 107,454.33 : x
  2. Step 2: Convert to fraction form
    284,798.16/427,226.40 = 107,454.33/x
  3. Step 3: Cross multiply
    284,798.16x = 427,226.40 × 107,454.33
  4. Step 4: Simplify right side
    284,798.16x = 45,907,326,570.31
  5. Step 5: Solve for x
    x = 45,907,326,570.31/284,798.16
  6. Step 6: Final answer
    x = 161,192.50

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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.