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Finding the Fourth Proportional to 102,237.50, 141,076.40 and 56,905.04

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Solution

The fourth proportional to 102,237.50, 141,076.40 and 56,905.04 is: 78,522.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,237.50 : 141,076.40 = 56,905.04 : x
  2. Step 2: Convert to fraction form
    102,237.50/141,076.40 = 56,905.04/x
  3. Step 3: Cross multiply
    102,237.50x = 141,076.40 × 56,905.04
  4. Step 4: Simplify right side
    102,237.50x = 8,027,958,185.06
  5. Step 5: Solve for x
    x = 8,027,958,185.06/102,237.50
  6. Step 6: Final answer
    x = 78,522.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.