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Finding the Fourth Proportional to 206,763.76, 285,312.64 and 116,129.60

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Solution

The fourth proportional to 206,763.76, 285,312.64 and 116,129.60 is: 160,246.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,763.76 : 285,312.64 = 116,129.60 : x
  2. Step 2: Convert to fraction form
    206,763.76/285,312.64 = 116,129.60/x
  3. Step 3: Cross multiply
    206,763.76x = 285,312.64 × 116,129.60
  4. Step 4: Simplify right side
    206,763.76x = 33,133,242,758.14
  5. Step 5: Solve for x
    x = 33,133,242,758.14/206,763.76
  6. Step 6: Final answer
    x = 160,246.86

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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.