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Finding the Fourth Proportional to 94,094.60, 141,096.54 and 54,663

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Solution

The fourth proportional to 94,094.60, 141,096.54 and 54,663 is: 81,968.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,094.60 : 141,096.54 = 54,663 : x
  2. Step 2: Convert to fraction form
    94,094.60/141,096.54 = 54,663/x
  3. Step 3: Cross multiply
    94,094.60x = 141,096.54 × 54,663
  4. Step 4: Simplify right side
    94,094.60x = 7,712,760,166.02
  5. Step 5: Solve for x
    x = 7,712,760,166.02/94,094.60
  6. Step 6: Final answer
    x = 81,968.15

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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.