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Finding the Fourth Proportional to 255,669.12, 352,857.60 and 142,502.40

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Solution

The fourth proportional to 255,669.12, 352,857.60 and 142,502.40 is: 196,672.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,669.12 : 352,857.60 = 142,502.40 : x
  2. Step 2: Convert to fraction form
    255,669.12/352,857.60 = 142,502.40/x
  3. Step 3: Cross multiply
    255,669.12x = 352,857.60 × 142,502.40
  4. Step 4: Simplify right side
    255,669.12x = 50,283,054,858.24
  5. Step 5: Solve for x
    x = 50,283,054,858.24/255,669.12
  6. Step 6: Final answer
    x = 196,672.38

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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.