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Finding the Fourth Proportional to 104,704, 157,106.40 and 52,118.08

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Solution

The fourth proportional to 104,704, 157,106.40 and 52,118.08 is: 78,202.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,704 : 157,106.40 = 52,118.08 : x
  2. Step 2: Convert to fraction form
    104,704/157,106.40 = 52,118.08/x
  3. Step 3: Cross multiply
    104,704x = 157,106.40 × 52,118.08
  4. Step 4: Simplify right side
    104,704x = 8,188,083,923.71
  5. Step 5: Solve for x
    x = 8,188,083,923.71/104,704
  6. Step 6: Final answer
    x = 78,202.21

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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.