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Finding the Fourth Proportional to 270,783.14, 373,721.65 and 156,078.80

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Solution

The fourth proportional to 270,783.14, 373,721.65 and 156,078.80 is: 215,412.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,783.14 : 373,721.65 = 156,078.80 : x
  2. Step 2: Convert to fraction form
    270,783.14/373,721.65 = 156,078.80/x
  3. Step 3: Cross multiply
    270,783.14x = 373,721.65 × 156,078.80
  4. Step 4: Simplify right side
    270,783.14x = 58,330,025,808.67
  5. Step 5: Solve for x
    x = 58,330,025,808.67/270,783.14
  6. Step 6: Final answer
    x = 215,412.33

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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.