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Finding the Fourth Proportional to 255,696.86, 352,830.87 and 146,795.20

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Solution

The fourth proportional to 255,696.86, 352,830.87 and 146,795.20 is: 202,559.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,696.86 : 352,830.87 = 146,795.20 : x
  2. Step 2: Convert to fraction form
    255,696.86/352,830.87 = 146,795.20/x
  3. Step 3: Cross multiply
    255,696.86x = 352,830.87 × 146,795.20
  4. Step 4: Simplify right side
    255,696.86x = 51,793,877,245.75
  5. Step 5: Solve for x
    x = 51,793,877,245.75/255,696.86
  6. Step 6: Final answer
    x = 202,559.69

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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.