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Finding the Fourth Proportional to 214,365.59, 321,480.97 and 77,571.03

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Solution

The fourth proportional to 214,365.59, 321,480.97 and 77,571.03 is: 116,332.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,365.59 : 321,480.97 = 77,571.03 : x
  2. Step 2: Convert to fraction form
    214,365.59/321,480.97 = 77,571.03/x
  3. Step 3: Cross multiply
    214,365.59x = 321,480.97 × 77,571.03
  4. Step 4: Simplify right side
    214,365.59x = 24,937,610,979.93
  5. Step 5: Solve for x
    x = 24,937,610,979.93/214,365.59
  6. Step 6: Final answer
    x = 116,332.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.