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Finding the Fourth Proportional to 255,339.92, 352,362.84 and 142,160.24

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Solution

The fourth proportional to 255,339.92, 352,362.84 and 142,160.24 is: 196,177.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,339.92 : 352,362.84 = 142,160.24 : x
  2. Step 2: Convert to fraction form
    255,339.92/352,362.84 = 142,160.24/x
  3. Step 3: Cross multiply
    255,339.92x = 352,362.84 × 142,160.24
  4. Step 4: Simplify right side
    255,339.92x = 50,091,985,901.48
  5. Step 5: Solve for x
    x = 50,091,985,901.48/255,339.92
  6. Step 6: Final answer
    x = 196,177.65

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1.5x scale

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.