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Finding the Fourth Proportional to 241,075.56, 361,205.08 and 146,018.48

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Solution

The fourth proportional to 241,075.56, 361,205.08 and 146,018.48 is: 218,780.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,075.56 : 361,205.08 = 146,018.48 : x
  2. Step 2: Convert to fraction form
    241,075.56/361,205.08 = 146,018.48/x
  3. Step 3: Cross multiply
    241,075.56x = 361,205.08 × 146,018.48
  4. Step 4: Simplify right side
    241,075.56x = 52,742,616,749.88
  5. Step 5: Solve for x
    x = 52,742,616,749.88/241,075.56
  6. Step 6: Final answer
    x = 218,780.44

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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.