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Finding the Fourth Proportional to 230,400.40, 345,017.40 and 183,744.40

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Solution

The fourth proportional to 230,400.40, 345,017.40 and 183,744.40 is: 275,151.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,400.40 : 345,017.40 = 183,744.40 : x
  2. Step 2: Convert to fraction form
    230,400.40/345,017.40 = 183,744.40/x
  3. Step 3: Cross multiply
    230,400.40x = 345,017.40 × 183,744.40
  4. Step 4: Simplify right side
    230,400.40x = 63,395,015,152.56
  5. Step 5: Solve for x
    x = 63,395,015,152.56/230,400.40
  6. Step 6: Final answer
    x = 275,151.50

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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.