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Finding the Fourth Proportional to 218,309.70, 301,266.93 and 122,816.50

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Solution

The fourth proportional to 218,309.70, 301,266.93 and 122,816.50 is: 169,486.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,309.70 : 301,266.93 = 122,816.50 : x
  2. Step 2: Convert to fraction form
    218,309.70/301,266.93 = 122,816.50/x
  3. Step 3: Cross multiply
    218,309.70x = 301,266.93 × 122,816.50
  4. Step 4: Simplify right side
    218,309.70x = 37,000,549,908.35
  5. Step 5: Solve for x
    x = 37,000,549,908.35/218,309.70
  6. Step 6: Final answer
    x = 169,486.51

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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.