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Finding the Fourth Proportional to 185,463.81, 255,940.16 and 100,580.87

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Solution

The fourth proportional to 185,463.81, 255,940.16 and 100,580.87 is: 138,801.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,463.81 : 255,940.16 = 100,580.87 : x
  2. Step 2: Convert to fraction form
    185,463.81/255,940.16 = 100,580.87/x
  3. Step 3: Cross multiply
    185,463.81x = 255,940.16 × 100,580.87
  4. Step 4: Simplify right side
    185,463.81x = 25,742,684,097.69
  5. Step 5: Solve for x
    x = 25,742,684,097.69/185,463.81
  6. Step 6: Final answer
    x = 138,801.66

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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.