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Finding the Fourth Proportional to 102,221.58, 153,283.81 and 35,653.62

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Solution

The fourth proportional to 102,221.58, 153,283.81 and 35,653.62 is: 53,463.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,221.58 : 153,283.81 = 35,653.62 : x
  2. Step 2: Convert to fraction form
    102,221.58/153,283.81 = 35,653.62/x
  3. Step 3: Cross multiply
    102,221.58x = 153,283.81 × 35,653.62
  4. Step 4: Simplify right side
    102,221.58x = 5,465,122,713.89
  5. Step 5: Solve for x
    x = 5,465,122,713.89/102,221.58
  6. Step 6: Final answer
    x = 53,463.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.