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Finding the Fourth Proportional to 185,355.40, 255,783.58 and 100,470.64

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Solution

The fourth proportional to 185,355.40, 255,783.58 and 100,470.64 is: 138,645.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,355.40 : 255,783.58 = 100,470.64 : x
  2. Step 2: Convert to fraction form
    185,355.40/255,783.58 = 100,470.64/x
  3. Step 3: Cross multiply
    185,355.40x = 255,783.58 × 100,470.64
  4. Step 4: Simplify right side
    185,355.40x = 25,698,739,984.09
  5. Step 5: Solve for x
    x = 25,698,739,984.09/185,355.40
  6. Step 6: Final answer
    x = 138,645.76

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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.