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Finding the Fourth Proportional to 105,094.20, 157,787.10 and 65,728.20

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Solution

The fourth proportional to 105,094.20, 157,787.10 and 65,728.20 is: 98,683.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,094.20 : 157,787.10 = 65,728.20 : x
  2. Step 2: Convert to fraction form
    105,094.20/157,787.10 = 65,728.20/x
  3. Step 3: Cross multiply
    105,094.20x = 157,787.10 × 65,728.20
  4. Step 4: Simplify right side
    105,094.20x = 10,371,062,066.22
  5. Step 5: Solve for x
    x = 10,371,062,066.22/105,094.20
  6. Step 6: Final answer
    x = 98,683.49

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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.