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Finding the Fourth Proportional to 105,114.40, 157,412.40 and 69,863.20

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Solution

The fourth proportional to 105,114.40, 157,412.40 and 69,863.20 is: 104,622.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,114.40 : 157,412.40 = 69,863.20 : x
  2. Step 2: Convert to fraction form
    105,114.40/157,412.40 = 69,863.20/x
  3. Step 3: Cross multiply
    105,114.40x = 157,412.40 × 69,863.20
  4. Step 4: Simplify right side
    105,114.40x = 10,997,333,983.68
  5. Step 5: Solve for x
    x = 10,997,333,983.68/105,114.40
  6. Step 6: Final answer
    x = 104,622.53

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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.