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Finding the Fourth Proportional to 354,117.78, 531,175.89 and 110,977.50

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Solution

The fourth proportional to 354,117.78, 531,175.89 and 110,977.50 is: 166,466.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,117.78 : 531,175.89 = 110,977.50 : x
  2. Step 2: Convert to fraction form
    354,117.78/531,175.89 = 110,977.50/x
  3. Step 3: Cross multiply
    354,117.78x = 531,175.89 × 110,977.50
  4. Step 4: Simplify right side
    354,117.78x = 58,948,572,332.48
  5. Step 5: Solve for x
    x = 58,948,572,332.48/354,117.78
  6. Step 6: Final answer
    x = 166,466.01

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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.