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Finding the Fourth Proportional to 105,114.60, 157,787.10 and 65,716.20

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Solution

The fourth proportional to 105,114.60, 157,787.10 and 65,716.20 is: 98,646.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,114.60 : 157,787.10 = 65,716.20 : x
  2. Step 2: Convert to fraction form
    105,114.60/157,787.10 = 65,716.20/x
  3. Step 3: Cross multiply
    105,114.60x = 157,787.10 × 65,716.20
  4. Step 4: Simplify right side
    105,114.60x = 10,369,168,621.02
  5. Step 5: Solve for x
    x = 10,369,168,621.02/105,114.60
  6. Step 6: Final answer
    x = 98,646.32

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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.