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Finding the Fourth Proportional to 255,105.64, 352,045.78 and 141,928.36

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Solution

The fourth proportional to 255,105.64, 352,045.78 and 141,928.36 is: 195,861.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,105.64 : 352,045.78 = 141,928.36 : x
  2. Step 2: Convert to fraction form
    255,105.64/352,045.78 = 141,928.36/x
  3. Step 3: Cross multiply
    255,105.64x = 352,045.78 × 141,928.36
  4. Step 4: Simplify right side
    255,105.64x = 49,965,280,200.32
  5. Step 5: Solve for x
    x = 49,965,280,200.32/255,105.64
  6. Step 6: Final answer
    x = 195,861.14

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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.