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Finding the Fourth Proportional to 255,486.16, 352,581.78 and 142,308.88

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Solution

The fourth proportional to 255,486.16, 352,581.78 and 142,308.88 is: 196,392.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,486.16 : 352,581.78 = 142,308.88 : x
  2. Step 2: Convert to fraction form
    255,486.16/352,581.78 = 142,308.88/x
  3. Step 3: Cross multiply
    255,486.16x = 352,581.78 × 142,308.88
  4. Step 4: Simplify right side
    255,486.16x = 50,175,518,220.21
  5. Step 5: Solve for x
    x = 50,175,518,220.21/255,486.16
  6. Step 6: Final answer
    x = 196,392.31

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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.