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Finding the Fourth Proportional to 105,164.40, 157,487.40 and 69,913.20

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Solution

The fourth proportional to 105,164.40, 157,487.40 and 69,913.20 is: 104,697.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,164.40 : 157,487.40 = 69,913.20 : x
  2. Step 2: Convert to fraction form
    105,164.40/157,487.40 = 69,913.20/x
  3. Step 3: Cross multiply
    105,164.40x = 157,487.40 × 69,913.20
  4. Step 4: Simplify right side
    105,164.40x = 11,010,448,093.68
  5. Step 5: Solve for x
    x = 11,010,448,093.68/105,164.40
  6. Step 6: Final answer
    x = 104,697.48

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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.