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Finding the Fourth Proportional to 113,274.02, 169,902.13 and 65,858.89

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Solution

The fourth proportional to 113,274.02, 169,902.13 and 65,858.89 is: 98,783.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,274.02 : 169,902.13 = 65,858.89 : x
  2. Step 2: Convert to fraction form
    113,274.02/169,902.13 = 65,858.89/x
  3. Step 3: Cross multiply
    113,274.02x = 169,902.13 × 65,858.89
  4. Step 4: Simplify right side
    113,274.02x = 11,189,565,690.44
  5. Step 5: Solve for x
    x = 11,189,565,690.44/113,274.02
  6. Step 6: Final answer
    x = 98,783.16

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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.