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Finding the Fourth Proportional to 102,221.51, 153,356.85 and 43,074.09

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Solution

The fourth proportional to 102,221.51, 153,356.85 and 43,074.09 is: 64,621.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,221.51 : 153,356.85 = 43,074.09 : x
  2. Step 2: Convert to fraction form
    102,221.51/153,356.85 = 43,074.09/x
  3. Step 3: Cross multiply
    102,221.51x = 153,356.85 × 43,074.09
  4. Step 4: Simplify right side
    102,221.51x = 6,605,706,759.02
  5. Step 5: Solve for x
    x = 6,605,706,759.02/102,221.51
  6. Step 6: Final answer
    x = 64,621.50

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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.