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Finding the Fourth Proportional to 218,923.40, 302,114.66 and 123,429.84

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Solution

The fourth proportional to 218,923.40, 302,114.66 and 123,429.84 is: 170,333.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,923.40 : 302,114.66 = 123,429.84 : x
  2. Step 2: Convert to fraction form
    218,923.40/302,114.66 = 123,429.84/x
  3. Step 3: Cross multiply
    218,923.40x = 302,114.66 × 123,429.84
  4. Step 4: Simplify right side
    218,923.40x = 37,289,963,528.31
  5. Step 5: Solve for x
    x = 37,289,963,528.31/218,923.40
  6. Step 6: Final answer
    x = 170,333.39

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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.