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Finding the Fourth Proportional to 255,097.96, 352,038.42 and 140,389.81

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Solution

The fourth proportional to 255,097.96, 352,038.42 and 140,389.81 is: 193,739.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,097.96 : 352,038.42 = 140,389.81 : x
  2. Step 2: Convert to fraction form
    255,097.96/352,038.42 = 140,389.81/x
  3. Step 3: Cross multiply
    255,097.96x = 352,038.42 × 140,389.81
  4. Step 4: Simplify right side
    255,097.96x = 49,422,606,016.40
  5. Step 5: Solve for x
    x = 49,422,606,016.40/255,097.96
  6. Step 6: Final answer
    x = 193,739.72

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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.