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Finding the Fourth Proportional to 255,641.76, 352,788.10 and 140,924.84

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Solution

The fourth proportional to 255,641.76, 352,788.10 and 140,924.84 is: 194,477.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,641.76 : 352,788.10 = 140,924.84 : x
  2. Step 2: Convert to fraction form
    255,641.76/352,788.10 = 140,924.84/x
  3. Step 3: Cross multiply
    255,641.76x = 352,788.10 × 140,924.84
  4. Step 4: Simplify right side
    255,641.76x = 49,716,606,546.40
  5. Step 5: Solve for x
    x = 49,716,606,546.40/255,641.76
  6. Step 6: Final answer
    x = 194,477.64

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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.