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Finding the Fourth Proportional to 252,322.40, 378,024.32 and 146,821.44

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Solution

The fourth proportional to 252,322.40, 378,024.32 and 146,821.44 is: 219,964.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,322.40 : 378,024.32 = 146,821.44 : x
  2. Step 2: Convert to fraction form
    252,322.40/378,024.32 = 146,821.44/x
  3. Step 3: Cross multiply
    252,322.40x = 378,024.32 × 146,821.44
  4. Step 4: Simplify right side
    252,322.40x = 55,502,075,017.42
  5. Step 5: Solve for x
    x = 55,502,075,017.42/252,322.40
  6. Step 6: Final answer
    x = 219,964.91

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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.