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Finding the Fourth Proportional to 105,158.57, 157,606.63 and 52,583.09

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Solution

The fourth proportional to 105,158.57, 157,606.63 and 52,583.09 is: 78,809.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,158.57 : 157,606.63 = 52,583.09 : x
  2. Step 2: Convert to fraction form
    105,158.57/157,606.63 = 52,583.09/x
  3. Step 3: Cross multiply
    105,158.57x = 157,606.63 × 52,583.09
  4. Step 4: Simplify right side
    105,158.57x = 8,287,442,690.40
  5. Step 5: Solve for x
    x = 8,287,442,690.40/105,158.57
  6. Step 6: Final answer
    x = 78,809.01

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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.