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Finding the Fourth Proportional to 222,778.98, 334,256.00 and 98,032.50

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Solution

The fourth proportional to 222,778.98, 334,256.00 and 98,032.50 is: 147,087.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,778.98 : 334,256.00 = 98,032.50 : x
  2. Step 2: Convert to fraction form
    222,778.98/334,256.00 = 98,032.50/x
  3. Step 3: Cross multiply
    222,778.98x = 334,256.00 × 98,032.50
  4. Step 4: Simplify right side
    222,778.98x = 32,767,950,829.84
  5. Step 5: Solve for x
    x = 32,767,950,829.84/222,778.98
  6. Step 6: Final answer
    x = 147,087.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.