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Finding the Fourth Proportional to 255,264.64, 352,276.80 and 142,094.56

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Solution

The fourth proportional to 255,264.64, 352,276.80 and 142,094.56 is: 196,096.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,264.64 : 352,276.80 = 142,094.56 : x
  2. Step 2: Convert to fraction form
    255,264.64/352,276.80 = 142,094.56/x
  3. Step 3: Cross multiply
    255,264.64x = 352,276.80 × 142,094.56
  4. Step 4: Simplify right side
    255,264.64x = 50,056,616,894.21
  5. Step 5: Solve for x
    x = 50,056,616,894.21/255,264.64
  6. Step 6: Final answer
    x = 196,096.95

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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.