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Finding the Fourth Proportional to 255,442.06, 352,509.84 and 148,074.28

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Solution

The fourth proportional to 255,442.06, 352,509.84 and 148,074.28 is: 204,342.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,442.06 : 352,509.84 = 148,074.28 : x
  2. Step 2: Convert to fraction form
    255,442.06/352,509.84 = 148,074.28/x
  3. Step 3: Cross multiply
    255,442.06x = 352,509.84 × 148,074.28
  4. Step 4: Simplify right side
    255,442.06x = 52,197,640,750.92
  5. Step 5: Solve for x
    x = 52,197,640,750.92/255,442.06
  6. Step 6: Final answer
    x = 204,342.39

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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.