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Finding the Fourth Proportional to 201,970.56, 302,944.86 and 61,718.16

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Solution

The fourth proportional to 201,970.56, 302,944.86 and 61,718.16 is: 92,573.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,970.56 : 302,944.86 = 61,718.16 : x
  2. Step 2: Convert to fraction form
    201,970.56/302,944.86 = 61,718.16/x
  3. Step 3: Cross multiply
    201,970.56x = 302,944.86 × 61,718.16
  4. Step 4: Simplify right side
    201,970.56x = 18,697,199,340.66
  5. Step 5: Solve for x
    x = 18,697,199,340.66/201,970.56
  6. Step 6: Final answer
    x = 92,573.88

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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.