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Finding the Fourth Proportional to 254,648.80, 381,973.20 and 147,923.20

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Solution

The fourth proportional to 254,648.80, 381,973.20 and 147,923.20 is: 221,884.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,648.80 : 381,973.20 = 147,923.20 : x
  2. Step 2: Convert to fraction form
    254,648.80/381,973.20 = 147,923.20/x
  3. Step 3: Cross multiply
    254,648.80x = 381,973.20 × 147,923.20
  4. Step 4: Simplify right side
    254,648.80x = 56,502,698,058.24
  5. Step 5: Solve for x
    x = 56,502,698,058.24/254,648.80
  6. Step 6: Final answer
    x = 221,884.80

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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.