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Finding the Fourth Proportional to 354,142.50, 531,317.79 and 104,830.98

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Solution

The fourth proportional to 354,142.50, 531,317.79 and 104,830.98 is: 157,277.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,142.50 : 531,317.79 = 104,830.98 : x
  2. Step 2: Convert to fraction form
    354,142.50/531,317.79 = 104,830.98/x
  3. Step 3: Cross multiply
    354,142.50x = 531,317.79 × 104,830.98
  4. Step 4: Simplify right side
    354,142.50x = 55,698,564,617.13
  5. Step 5: Solve for x
    x = 55,698,564,617.13/354,142.50
  6. Step 6: Final answer
    x = 157,277.27

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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.