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Finding the Fourth Proportional to 201,944.17, 302,970.80 and 61,698.97

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Solution

The fourth proportional to 201,944.17, 302,970.80 and 61,698.97 is: 92,565.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,944.17 : 302,970.80 = 61,698.97 : x
  2. Step 2: Convert to fraction form
    201,944.17/302,970.80 = 61,698.97/x
  3. Step 3: Cross multiply
    201,944.17x = 302,970.80 × 61,698.97
  4. Step 4: Simplify right side
    201,944.17x = 18,692,985,991.58
  5. Step 5: Solve for x
    x = 18,692,985,991.58/201,944.17
  6. Step 6: Final answer
    x = 92,565.12

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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.